Edit Profile (opens in new tab) Pełczyński, Aleksander Compute Distance To: Compute Author ID: pelczynski.aleksander Published as: Pełczyński, Aleksander; Pełczyński, A.; Pelczynski, A.; Pelczyński, Aleksander; Pełczynski, Aleksander; Pełczynski, A.; Pelczyński, A.; Pelczynski, Aleksander more...less External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 140 Publications since 1957, including 5 Books 1 Contribution as Editor · 6 Further Contributions Biographic References: 4 Publications Co-Authors: 54 Co-Authors with 87 Joint Publications 1,459 Co-Co-Authors all top 5 Co-Authors 59 single-authored 25 Bessaga, Czeslaw 9 Wojciechowski, Michał 7 Figiel, Tadeusz 6 Kwapień, Stanisław 5 Rolewicz, Stefan 4 Wojtaszczyk, Przemyslaw 3 Casazza, Peter George 3 Lindenstrauss, Joram 3 Michael, Ernest A. 3 Rosenthal, Haskell P. 2 Aĭzenberg, Lev Abramovich 2 Banach, Stefan 2 Davis, William Jay 2 Khavin, Viktor Petrovich 2 Johnson, William Buhmann 2 Kadets, Mikhail I. 2 Komarchev, I. A. 2 Makarov, Boris Mikhaĭlovich 2 Mityagin, Boris Samuilovich 2 Ovsepian, R. I. 2 Preiss, David 2 Semadeni, Zbigniew 2 Senator, Kazimierz 2 Skiba, N. I. 2 Szlenk, Wieslaw 2 Trutnev, V. M. 2 Zakharyuta, Vyacheslav Pavlovich 1 Aitchison, Peter W. 1 Alberti, Giovanni 1 Alfsen, Erik M. 1 Balcar, Bohuslav 1 Beauzamy, Bernard 1 Berkson, Earl 1 Białynicki-Birula, Andrzej S. 1 Billard, Pierre 1 Blasco, Oscar 1 Börger, Reinhard 1 Bourgain, Jean 1 Burton, Geoffrey R. 1 Choquet, Gustave 1 Ciesielski, Zbigniew 1 Csörnyei, Marianna 1 Day, Mahlon Marsh 1 De Vries, Jan 1 Delbaen, Freddy 1 Dierolf, Peter 1 Diestel, Joseph 1 Dubinsky, Ed 1 Engelking, Ryszard 1 Erdős, Pál 1 Ewald, Günter 1 Floret, Klaus 1 Fourneau, Rene 1 Franek, Frantisek 1 Frolík, Zdeněk 1 Garling, D. J. H. 1 Godefroy, Gilles 1 Grünbaum, Branko 1 Grząślewicz, Ryszard 1 Grzegorek, Edward 1 Guy, Richard Kenneth 1 Gząślewicz, R. 1 Haydon, Richard G. 1 Heinrich, Stefan 1 Hofmann, Gerald 1 Iwaniec, Tadeusz 1 James, Robert C. 1 Janicka, Liliana 1 Jarchow, Hans 1 Kalton, Nigel John 1 Klee, Victor LaRue 1 König, Heinz 1 Kotecký, Roman 1 Kulpa, Wladyslaw 1 Kürsten, Klaus-Detlef 1 Larman, David G. 1 Mani-Levitska, Peter 1 Mankiewicz, Piotr 1 Maurey, Bernard 1 Oleszkiewicz, Krzysztof 1 Petty, Clinton M. 1 Phelps, Robert Ralph 1 Pietsch, Albrecht 1 Pol, Roman 1 Reiterman, Jan 1 Rodl, Vojtech 1 Rogers, Claude Ambrose 1 Rosický, Jiří 1 Samuel, Christian 1 Schachermayer, Walter 1 Schütt, Carsten 1 Singer, Ivan 1 Skrzypczak, Leszek 1 Sudakov, Vladimir Nikolaevich 1 Sukochev, Fedor Anatol’evich 1 Szarek, Stanislaw Jerzy 1 Thomas, Erik G. F. 1 Tomczak-Jaegermann, Nicole 1 Topsøe, Flemming 1 Toruńczyk, Henryk ...and 9 more Co-Authors all top 5 Serials 35 Studia Mathematica 15 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 6 Colloquium Mathematicum 6 Roczniki Polskiego Towarzystwa Matematycznego. Seria II. Wiadomości Matematyczne 5 Bulletin de l’Académie Polonaise des Sciences, Classe 3 4 Israel Journal of Mathematics 4 Annales Societatis Mathematicae Polonae 2 Russian Mathematical Surveys 2 Uspekhi Matematicheskikh Nauk [N. S.] 2 Illinois Journal of Mathematics 2 Journal of Functional Analysis 2 Proceedings of the American Mathematical Society 2 Regional Conference Series in Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 1 Arkiv för Matematik 1 Acta Mathematica Sinica 1 Bulletin of the London Mathematical Society 1 Compositio Mathematica 1 Dissertationes Mathematicae 1 Duke Mathematical Journal 1 Fundamenta Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Journal of Soviet Mathematics 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematica Scandinavica 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Soviet Mathematics. Doklady 1 Transactions of the American Mathematical Society 1 The Journal of Geometric Analysis 1 Pokroky Matematiky, Fyziky & Astronomie 1 Notices of the American Mathematical Society 1 Positivity 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Annales Societatis Mathematicae Polonae 1 Banach Center Publications 1 Monografie Matematyczne 1 North-Holland Mathematical Library 1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 1 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae 1 Studia Mathematica, Seria Specjalna all top 5 Fields 76 Functional analysis (46-XX) 19 Operator theory (47-XX) 5 History and biography (01-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 General and overarching topics; collections (00-XX) 4 Abstract harmonic analysis (43-XX) 4 General topology (54-XX) 3 Functions of a complex variable (30-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Convex and discrete geometry (52-XX) 3 Manifolds and cell complexes (57-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 113 Publications have been cited 2,752 times in 2,047 Documents Cited by ▼ Year ▼ Absolutely summing operators in \(L_{p}\)-spaces and their applications. Zbl 0183.40501Lindenstrauss, Joram; Pełczyński, Aleksander 278 1968 On bases and unconditional convergence of series in Banach spaces. Zbl 0084.09805Bessaga, Czeslaw; Pełczyński, Aleksander 225 1958 Selected topics in infinite-dimensional topology. Zbl 0304.57001Bessaga, Czeslaw; Pełczyński, Aleksander 221 1975 Projections in certain Banach spaces. Zbl 0104.08503Pełczyński, Aleksander 195 1960 Factoring weakly compact operators. Zbl 0306.46020Davis, W. J.; Figiel, T.; Johnson, W. B.; Pełczyński, Aleksander 194 1974 Bases, lacunary sequences and complemented subspaces in the spaces \(L_ p\). Zbl 0102.32202Kadets, M. I.; Pełczyński, Aleksander 99 1962 On strictly singular and strictly cosingular operators. I: Strictly singular and strictly cosingular operators in \(C(S)\)-spaces. II: Strictly singular and strictly cosingular operators in \(L(\nu)\)-spaces. Zbl 0138.38604Pełczyński, Aleksander 89 1965 Banach spaces on which every unconditionally converging operator is weakly compact. Zbl 0107.32504Pełczyński, Aleksander 84 1962 Spaces of continuous functions. III: Spaces \(C(\varOmega)\) for \(\varOmega\) without perfect subsets. Zbl 0091.27803Pełczyński, A.; Semadeni, Zbigniew 82 1959 Spaces of continuous functions. IV: On isomorphical classification of spaces of continuous functions. Zbl 0094.30303Bessaga, Czeslaw; Pełczyński, Aleksander 81 1960 The main triangle projection in matrix spaces and its applications. Zbl 0189.43505Kwapien, S.; Pełczyński, Aleksander 70 1970 Linear extensions, linear averagings, and their applications to linear topological classification of spaces of continuous functions. Zbl 0165.14603Pełczyński, Aleksander 63 1968 Contributions to the theory of the classical Banach spaces. Zbl 0224.46041Lindenstrauss, J.; Pełczyński, A. 59 1971 On the existence of a fundamental total and bounded biorthogonal sequence in every separable Banach space, and related constructions of uniformly bounded orthonormal systems in \(L^2\). Zbl 0317.46019Ovsepian, R. I.; Pełczyński, Aleksander 42 1975 Any separable Banach space with the bounded approximation property is a complemented subspace of a Banach space with a basis. Zbl 0223.46019Pełczyński, A. 42 1971 Localization techniques in L\(^p\) spaces. Zbl 0297.46023Pełczyński, Aleksander; Rosenthal, H. P. 41 1975 On Banach spaces containing \(L_ 1 (\mu)\). Zbl 0159.18102Pełczynski, Aleksander 40 1968 Theory of linear operations. Transl. from the French by F. Jellett. Zbl 0613.46001Banach, S. 38 1987 Universal bases. Zbl 0185.37401Pełczyński, Aleksander 32 1969 Separable Banach spaces which admit \(I^ \infty_ n\) approximations. Zbl 0151.17602Michael, Ernest; Pełczyński, Aleksander 31 1966 On \(C(S)\)-subspaces of separable Banach spaces. Zbl 0169.15402Pełczyński, Aleksander 31 1968 On diametral approximative dimension and linear homogeneity of \(F\)-spaces. Zbl 0109.33502Bessaga, Czeslaw; Pełczyński, Aleksander; Rolewicz, Stefan 30 1961 On non-equivalent bases and conditional bases in Banach spaces. Zbl 0187.05403Pełczyński, Aleksander; Singer, Ivan 29 1964 On Banach spaces X for which \(\Pi_2(L_\infty,X)=B(L_\infty,X)\). Zbl 0262.46018Dubinsky, Ed; Pełczyński, Aleksander; Rosenthal, H. P. 28 1972 On extreme points in separable conjugate spaces. Zbl 0145.16102Bessaga, Czesław; Pełczyński, Aleksander 26 1966 Some approximation properties of Banach spaces and Banach lattices. Zbl 1235.46027Figiel, Tadeusz; Johnson, William B.; Pełczyński, Aleksander 23 2011 Kernels of surjections from \({\mathcal L}_1\)-spaces with an application to Sidon sets. Zbl 0901.46008Kalton, N. J.; Pełczyński, A. 21 1997 A generalization of results of R. C. James concerning absolute bases in Banach spaces. Zbl 0084.10001Bessaga, Czeslaw; Pełczyński, Aleksander 21 1958 On the isomorphism of the spaces \(m\) and \(M\). Zbl 0085.09406Pełczyński, Aleksander 21 1958 A note on the paper of I. Singer ’Basic sequences and reflexivity of Banach spaces’. Zbl 0114.30904Pełczyński, Aleksander 21 1962 The estimated extension theorem, homogeneous collections and skeletons, and their applications to the topological classification of linear metric spaces and convex sets. Zbl 0204.12801Bessaga, Czeslaw; Pełczyński, Aleksander 20 1970 Banach spaces with finite dimensional expansions of identity and universal bases of finite dimensional subspaces. Zbl 0221.46014Pełczyński, A.; Wojtaszczyk, P. 18 1971 Some problems on bases in Banach and Frechet spaces. Zbl 0203.43203Pełczyński, A. 16 1964 Polydisc slicing in \(\mathbb{C}^n\). Zbl 0971.32018Oleszkiewicz, Krzysztof; Pełczyński, Aleksander 15 2000 All separable Banach spaces admit for every \(\varepsilon >0\) fundamental total and bounded by \(1+\varepsilon\) biorthogonal sequences. Zbl 0336.46023Pełczyński, Aleksander 15 1976 A property of multilinear operations. Zbl 0080.09701Pełczyński, Aleksander 15 1957 On parallelepipeds of minimal volume containing a convex symmetric body in \({\mathbb{R}}^ n\). Zbl 0718.52007Pelczynski, A.; Szarek, S. J. 15 1991 Theorems of Hardy and Paley for vector-valued analytic functions and related classes of Banach spaces. Zbl 0744.46039Blasco, O.; Pelczynski, A. 14 1991 A linear extension theorem. Zbl 0171.10901Michael, Ernest; Pełczyński, Aleksander 14 1967 Remarks on dyadic spaces. Zbl 0123.15905Engelking, Ryszard; Pełczyński, Aleksander 13 1963 A characterization of Hilbert-Schmidt operators. Zbl 0156.38001Pełczyński, Aleksander 13 1967 Some remarks on conjugate spaces containing subspaces isomorphic to the space \(c_0\). Zbl 0082.10803Bessaga, Czeslaw; Pełczyński, Aleksander 13 1958 A connection between weakly unconditional convergence and weakly completeness of Banach spaces. Zbl 0082.10804Pełczyński, Aleksander 13 1958 Molecular decompositions and embedding theorems for vector-valued Sobolev spaces with gradient norm. Zbl 0811.46028Pełczyński, A.; Wojciechowski, M. 12 1993 Remark on non-complemented subspaces of the space \(m(S)\). Zbl 0107.32603Pełczyński, Aleksander; Sudakov, V. N. 12 1962 Absolutely summing operators and translation invariant spaces of functions on compact abelian groups. Zbl 0435.43002Kwapien, S.; Pełczyński, Aleksander 11 1980 Banach spaces of analytic functions and absolutely summing operators. Reprint. Zbl 0475.46022Pełczyński, Aleksander 11 1980 Some remarks on homeomorphisms of \(F\)-spaces. Zbl 0103.32801Bessaga, Czeslaw; Pełczyński, Aleksander 11 1962 Some properties of the space (\(s\)). Zbl 0090.32702Bessaga, Czeslaw; Pełczyński, Aleksander; Rolewicz, Stefan 10 1959 On the impossibility of embedding of the space \(L\) in certain Banach spaces. Zbl 0099.09501Pełczyński, Aleksander 10 1961 Basic sequences, bi-orthogonal systems and norming sets in Banach and Fréchet spaces. Zbl 0135.34504Kadets, M. I.; Pełczyński, Aleksander 10 1965 Subspaces of \(L_p\) isometric to subspaces of \(\ell_p\). Zbl 0934.46008Delbaen, F.; Jarchow, H.; Pełczyński, A. 9 1998 On a class of \(B_ 0\)-spaces. Zbl 0077.31002Bessaga, Czeslaw; Pełczyński, Aleksander 9 1957 Banach spaces of analytic functions and absolutely summing operators. Expository lectures from the CBMS Regional Conference helf at Kent State University, July 11-16, 1976. Zbl 0384.46015Pełczyński, Aleksander 8 1977 On simultaneous extension of continuous functions. A generalization of theorems of Rudin-Carleson and Bishop. Zbl 0145.16204Pełczyński, Aleksander 8 1964 Some linear topological properties of separable function algebras. Zbl 0168.11201Pełczyński, Aleksander 8 1967 Sharp estimates for the constants of local unconditional structure of Minkowski spaces. Zbl 0379.46012Figiel, Tadeusz; Kwapien, Stanislaw; Pełczyński, Aleksander 7 1978 Spaces of functions with bounded variation and Sobolev spaces without local unconditional structure. Zbl 1032.46029Pełczyński, Aleksander; Wojciechowski, Michał 7 2003 On isomorphisms of anisotropic Sobolev spaces with “classical Banach spaces” and a Sobolev type embedding theorem. Zbl 0628.46027Pełczyński, A.; Senator, K. 7 1986 Banach spaces non-isomorphic to their cartesian squares. I. Zbl 0091.27801Bessaga, Czeslaw; Pełczyński, Aleksander 7 1960 Properties of bases in spaces of type \(B_0\). Zbl 0097.09203Bessaga, Czeslaw; Pełczyński, Aleksander 7 1959 Some remarks on homeomorphism of Banach spaces. Zbl 0102.10001Bessaga, Czeslaw; Pełczyński, Aleksander 7 1961 A theorem of Dunford-Petties type for polynomial operators. Zbl 0117.33203Pełczyński, Aleksander 7 1963 An example of a non-shrinking basis. Zbl 0154.14404Pełczyński, Aleksander; Szlenk, W. 7 1965 A proof of Eberlein-Šmulian theorem by an application of basic sequences. Zbl 0187.05402Pełczyński, Aleksander 7 1964 On spaces of measurable functions. Zbl 0256.46048Bessaga, Czeslaw; Pełczyński, Aleksander 6 1972 Durham symposium on the relations between infinite-dimensional and finite-dimensional convexity. Zbl 0323.52001 6 1976 Commensurate sequences of characters. Zbl 0693.46044Pełczyński, A. 6 1988 Computing norms and critical exponents of some operators in \(L^ p\)- spaces. Zbl 0599.46035Figiel, T.; Iwaniec, T.; Pełczyński, A. 6 1984 p-integral operators commuting with group representations and examples of quasi-p-integral operators which are not p-integral. Zbl 0189.43701Pełczyński, Aleksander 6 1969 On the approximation of S-spaces by finite dimensional spaces. Zbl 0078.28703Pełczyński, Aleksander 6 1957 Some properties of the norm in F-spaces. Zbl 0080.31301Bessaga, Czeslaw; Pełczyński, Aleksander; Rolewicz, Stefan 6 1957 Biorthogonal systems of random unconditional convergence in Banach spaces. Zbl 0749.46011Billard, P.; Kwapień, S.; Pełczyński, A.; Samuel, Ch. 5 1986 Sobolev spaces. Zbl 1044.46031Pełczyński, Aleksander; Wojciechowski, Michał 5 2003 BV has the bounded approximation property. Zbl 1091.46011Alberti, G.; Csörnyei, M.; Pełczyński, A.; Preiss, D. 5 2005 A remark on spaces \(2^ X\) for zero-dimensional X. Zbl 0137.16103Pełczyński, Aleksander 5 1965 Peaked partition subspaces of \(C(X)\). Zbl 0171.10805Michael, Ernest; Pełczyński, Aleksander 5 1967 A topological proof that every separable Banach space is homeomorphic to a countable product of lines. Zbl 0181.40001Bessaga, Czeslaw; Pełczyński, Aleksander 5 1969 Nuclear operators and approximative dimension. Zbl 0191.41704Mityagin, B. S.; Pelczyński, Aleksander 5 1968 On B-spaces containing subspaces isomorphic to the space c. Zbl 0078.10403Pełczyński, Aleksander 5 1957 On subspaces of a space with an absolute basis. Zbl 0083.10304Bessaga, Czeslaw; Pełczyński, Aleksander 5 1958 Remarks on absolutely summing translation invariant operators from the disc algebra and its dual into a Hilbert space. Zbl 0391.46041Kwapien, S.; Pełczyński, Aleksander 4 1978 Geometry of finite dimensional Banach spaces and operator ideals. Zbl 0461.46014Pełczyński, Aleksander 4 1980 Sur certaines propriétés isomorphiques nouvelles des espaces de Banach de fonctions holomorphes A et H\(^\infty\). Zbl 0285.46020Pełczyński, Aleksander 4 1974 Some remarks on Toeplitz multipliers and Hankel matrices. Zbl 1105.47025Pełczyński, Aleksander; Sukochev, Fyodor 4 2006 Norms of classical operators in function spaces. Zbl 0582.47033Pełczynski, A. 4 1985 Uncompemented function algebras with separable annihilators. Zbl 0148.11903Pełczyński, Aleksander 4 1966 A generalisation of Stone’s theorem on approximation. Zbl 0078.10404Pełczyński, Aleksander 4 1957 Sobolev spaces in several variables in \(L^1\)-type norms are not isomorphic to Banach lattices. Zbl 1021.46026Pełczyński, Aleksander; Wojciechowski, Michał 3 2002 Sur l’injecion naturelle de l’espace \((l)\) dans l’espace \((l_ p)\). Zbl 0132.09001Pełczyński, Aleksander; Szlenk, W. 3 1963 The spaces of Lebesgue measurable functions on the interval \([0;1]\) is homeomorphic to the countable infinite product of lines. Zbl 0215.19804Bessaga, Czeslaw; Pełczyński, A. 3 1970 An extension of the Krein-Milman-Rutman theorem concerning bases to the case of \(B_ 0\)-spaces. Zbl 0077.31003Bessaga, Czeslaw; Pełczyński, Aleksander 3 1957 Remarks on John’s theorem on the ellipsoid of maximal volume inscribed into a convex symmetric body in \({\mathbb{R}{}}^ n\). Zbl 0785.46011Pelczynski, Aleksander 3 1990 Œuvres. Vol. II: Travaux sur l’analyse fonctionnelle. Avec l’article de A. Pelczynski sur la presente théorie des espaces de Banach. Zbl 0407.01009Banach, Stefan 2 1979 über einige Probleme von Banach. Zbl 0281.46014Pełczyński, Aleksander 2 1973 A criterion for compositions of (p,q) -absolutely summing operators to be compact. Zbl 0321.47016Maurey, B.; Pełczyński, Aleksander 2 1976 Some linear topological properties of the Hardy spaces \(H^p\). Zbl 0342.46015Kwapien, S.; Pełczyński, Aleksander 2 1976 Selected problems on the structure of complemented subspaces of Banach spaces. Zbl 1130.46003Pelczyński, Aleksander 2 2006 A tribute to Nigel J. Kalton (1946–2010). Zbl 1284.01055Pelczyński, Aleksander; Diestel, Joe; Vershynin, Roman; Godefroy, Gilles 1 2012 Factoring the natural injection \(l^ n : L_ n^\infty \to L_ n^ 1\) through finite dimensional Banach spaces and geometry of finite dimensional unitary ideals. Zbl 0484.46016Pełczyński, Aleksander; Schuett, C. 1 1981 A tribute to Nigel J. Kalton (1946–2010). Zbl 1284.01055Pelczyński, Aleksander; Diestel, Joe; Vershynin, Roman; Godefroy, Gilles 1 2012 Some approximation properties of Banach spaces and Banach lattices. Zbl 1235.46027Figiel, Tadeusz; Johnson, William B.; Pełczyński, Aleksander 23 2011 Some remarks on Toeplitz multipliers and Hankel matrices. Zbl 1105.47025Pełczyński, Aleksander; Sukochev, Fyodor 4 2006 Selected problems on the structure of complemented subspaces of Banach spaces. Zbl 1130.46003Pelczyński, Aleksander 2 2006 BV has the bounded approximation property. Zbl 1091.46011Alberti, G.; Csörnyei, M.; Pełczyński, A.; Preiss, D. 5 2005 Spaces of functions with bounded variation and Sobolev spaces without local unconditional structure. Zbl 1032.46029Pełczyński, Aleksander; Wojciechowski, Michał 7 2003 Sobolev spaces. Zbl 1044.46031Pełczyński, Aleksander; Wojciechowski, Michał 5 2003 Sobolev spaces in several variables in \(L^1\)-type norms are not isomorphic to Banach lattices. Zbl 1021.46026Pełczyński, Aleksander; Wojciechowski, Michał 3 2002 Polydisc slicing in \(\mathbb{C}^n\). Zbl 0971.32018Oleszkiewicz, Krzysztof; Pełczyński, Aleksander 15 2000 Subspaces of \(L_p\) isometric to subspaces of \(\ell_p\). Zbl 0934.46008Delbaen, F.; Jarchow, H.; Pełczyński, A. 9 1998 Kernels of surjections from \({\mathcal L}_1\)-spaces with an application to Sidon sets. Zbl 0901.46008Kalton, N. J.; Pełczyński, A. 21 1997 Molecular decompositions and embedding theorems for vector-valued Sobolev spaces with gradient norm. Zbl 0811.46028Pełczyński, A.; Wojciechowski, M. 12 1993 Paley projections on anisotropic Sobolev spaces on tori. Zbl 0767.46033Pelczynski, A.; Wojciechowski, M. 1 1992 On parallelepipeds of minimal volume containing a convex symmetric body in \({\mathbb{R}}^ n\). Zbl 0718.52007Pelczynski, A.; Szarek, S. J. 15 1991 Theorems of Hardy and Paley for vector-valued analytic functions and related classes of Banach spaces. Zbl 0744.46039Blasco, O.; Pelczynski, A. 14 1991 Remarks on John’s theorem on the ellipsoid of maximal volume inscribed into a convex symmetric body in \({\mathbb{R}{}}^ n\). Zbl 0785.46011Pelczynski, Aleksander 3 1990 Commensurate sequences of characters. Zbl 0693.46044Pełczyński, A. 6 1988 On the length of faithful nuclear representations of finite rank operators. Zbl 0654.47007Pełczynski, A.; Tomczak-Jaegermann, Nicole 1 1988 Theory of linear operations. Transl. from the French by F. Jellett. Zbl 0613.46001Banach, S. 38 1987 On isomorphisms of anisotropic Sobolev spaces with “classical Banach spaces” and a Sobolev type embedding theorem. Zbl 0628.46027Pełczyński, A.; Senator, K. 7 1986 Biorthogonal systems of random unconditional convergence in Banach spaces. Zbl 0749.46011Billard, P.; Kwapień, S.; Pełczyński, A.; Samuel, Ch. 5 1986 Addendum to the paper “On isomorphisms of anisotropic Sobolev spaces with ‘classical Banach spaces’ and a Sobolev type embedding theorem”. Zbl 0638.46026Pełczyński, A.; Senator, K. 1 1986 Norms of classical operators in function spaces. Zbl 0582.47033Pełczynski, A. 4 1985 Computing norms and critical exponents of some operators in \(L^ p\)- spaces. Zbl 0599.46035Figiel, T.; Iwaniec, T.; Pełczyński, A. 6 1984 Structural theory of Banach spaces and its interplay with analysis and probability. Zbl 0575.46010Pełczyński, Aleksander 1 1984 Factoring the natural injection \(l^ n : L_ n^\infty \to L_ n^ 1\) through finite dimensional Banach spaces and geometry of finite dimensional unitary ideals. Zbl 0484.46016Pełczyński, Aleksander; Schuett, C. 1 1981 Absolutely summing operators and translation invariant spaces of functions on compact abelian groups. Zbl 0435.43002Kwapien, S.; Pełczyński, Aleksander 11 1980 Banach spaces of analytic functions and absolutely summing operators. Reprint. Zbl 0475.46022Pełczyński, Aleksander 11 1980 Geometry of finite dimensional Banach spaces and operator ideals. Zbl 0461.46014Pełczyński, Aleksander 4 1980 Œuvres. Vol. II: Travaux sur l’analyse fonctionnelle. Avec l’article de A. Pelczynski sur la presente théorie des espaces de Banach. Zbl 0407.01009Banach, Stefan 2 1979 Sharp estimates for the constants of local unconditional structure of Minkowski spaces. Zbl 0379.46012Figiel, Tadeusz; Kwapien, Stanislaw; Pełczyński, Aleksander 7 1978 Remarks on absolutely summing translation invariant operators from the disc algebra and its dual into a Hilbert space. Zbl 0391.46041Kwapien, S.; Pełczyński, Aleksander 4 1978 Banach spaces of analytic functions and absolutely summing operators. Expository lectures from the CBMS Regional Conference helf at Kent State University, July 11-16, 1976. Zbl 0384.46015Pełczyński, Aleksander 8 1977 All separable Banach spaces admit for every \(\varepsilon >0\) fundamental total and bounded by \(1+\varepsilon\) biorthogonal sequences. Zbl 0336.46023Pełczyński, Aleksander 15 1976 Durham symposium on the relations between infinite-dimensional and finite-dimensional convexity. Zbl 0323.52001 6 1976 A criterion for compositions of (p,q) -absolutely summing operators to be compact. Zbl 0321.47016Maurey, B.; Pełczyński, Aleksander 2 1976 Some linear topological properties of the Hardy spaces \(H^p\). Zbl 0342.46015Kwapien, S.; Pełczyński, Aleksander 2 1976 Selected topics in infinite-dimensional topology. Zbl 0304.57001Bessaga, Czeslaw; Pełczyński, Aleksander 221 1975 On the existence of a fundamental total and bounded biorthogonal sequence in every separable Banach space, and related constructions of uniformly bounded orthonormal systems in \(L^2\). Zbl 0317.46019Ovsepian, R. I.; Pełczyński, Aleksander 42 1975 Localization techniques in L\(^p\) spaces. Zbl 0297.46023Pełczyński, Aleksander; Rosenthal, H. P. 41 1975 Factoring weakly compact operators. Zbl 0306.46020Davis, W. J.; Figiel, T.; Johnson, W. B.; Pełczyński, Aleksander 194 1974 Sur certaines propriétés isomorphiques nouvelles des espaces de Banach de fonctions holomorphes A et H\(^\infty\). Zbl 0285.46020Pełczyński, Aleksander 4 1974 On a result of Olevskii: a uniformly bounded orthonormal sequence is not a basis for C\([0,1]\). Zbl 0298.46024Pełczyński, Aleksander 1 1974 Theexistence in every separable Banach space of a fundamental total and bounded biorthogonal sequence and related constructions of uniformly bounded orthonormal systems in L. Zbl 0302.46008Ovsepian, R. I.; Pełczyński, Aleksander 1 1974 On Enflo’s method of constructing Banach spaces without the approximation property. Zbl 0312.46033Figiel, T.; Pełczyński, Aleksander 1 1974 über einige Probleme von Banach. Zbl 0281.46014Pełczyński, Aleksander 2 1973 On some problems of Banach. Zbl 0288.46016Pełczyński, Aleksander 1 1973 On Enflo’s method of construction of Banach spaces without the approximation property. Zbl 0305.46027Pełczyński, Aleksander; Figiel, T. 1 1973 On Banach spaces X for which \(\Pi_2(L_\infty,X)=B(L_\infty,X)\). Zbl 0262.46018Dubinsky, Ed; Pełczyński, Aleksander; Rosenthal, H. P. 28 1972 On spaces of measurable functions. Zbl 0256.46048Bessaga, Czeslaw; Pełczyński, Aleksander 6 1972 Contributions to the theory of the classical Banach spaces. Zbl 0224.46041Lindenstrauss, J.; Pełczyński, A. 59 1971 Any separable Banach space with the bounded approximation property is a complemented subspace of a Banach space with a basis. Zbl 0223.46019Pełczyński, A. 42 1971 Banach spaces with finite dimensional expansions of identity and universal bases of finite dimensional subspaces. Zbl 0221.46014Pełczyński, A.; Wojtaszczyk, P. 18 1971 The main triangle projection in matrix spaces and its applications. Zbl 0189.43505Kwapien, S.; Pełczyński, Aleksander 70 1970 The estimated extension theorem, homogeneous collections and skeletons, and their applications to the topological classification of linear metric spaces and convex sets. Zbl 0204.12801Bessaga, Czeslaw; Pełczyński, Aleksander 20 1970 The spaces of Lebesgue measurable functions on the interval \([0;1]\) is homeomorphic to the countable infinite product of lines. Zbl 0215.19804Bessaga, Czeslaw; Pełczyński, A. 3 1970 Linear extensions, linear averagings, and their applications to linear topological classification of spaces of continuous functions. Translation from the English ed. by G.M.Khenkin. Zbl 0199.18701Pełczyński, Aleksander 1 1970 Universal bases. Zbl 0185.37401Pełczyński, Aleksander 32 1969 p-integral operators commuting with group representations and examples of quasi-p-integral operators which are not p-integral. Zbl 0189.43701Pełczyński, Aleksander 6 1969 A topological proof that every separable Banach space is homeomorphic to a countable product of lines. Zbl 0181.40001Bessaga, Czeslaw; Pełczyński, Aleksander 5 1969 Absolutely summing operators in \(L_{p}\)-spaces and their applications. Zbl 0183.40501Lindenstrauss, Joram; Pełczyński, Aleksander 278 1968 Linear extensions, linear averagings, and their applications to linear topological classification of spaces of continuous functions. Zbl 0165.14603Pełczyński, Aleksander 63 1968 On Banach spaces containing \(L_ 1 (\mu)\). Zbl 0159.18102Pełczynski, Aleksander 40 1968 On \(C(S)\)-subspaces of separable Banach spaces. Zbl 0169.15402Pełczyński, Aleksander 31 1968 Nuclear operators and approximative dimension. Zbl 0191.41704Mityagin, B. S.; Pelczyński, Aleksander 5 1968 A linear extension theorem. Zbl 0171.10901Michael, Ernest; Pełczyński, Aleksander 14 1967 A characterization of Hilbert-Schmidt operators. Zbl 0156.38001Pełczyński, Aleksander 13 1967 Some linear topological properties of separable function algebras. Zbl 0168.11201Pełczyński, Aleksander 8 1967 Peaked partition subspaces of \(C(X)\). Zbl 0171.10805Michael, Ernest; Pełczyński, Aleksander 5 1967 Separable Banach spaces which admit \(I^ \infty_ n\) approximations. Zbl 0151.17602Michael, Ernest; Pełczyński, Aleksander 31 1966 On extreme points in separable conjugate spaces. Zbl 0145.16102Bessaga, Czesław; Pełczyński, Aleksander 26 1966 Uncompemented function algebras with separable annihilators. Zbl 0148.11903Pełczyński, Aleksander 4 1966 On strictly singular and strictly cosingular operators. I: Strictly singular and strictly cosingular operators in \(C(S)\)-spaces. II: Strictly singular and strictly cosingular operators in \(L(\nu)\)-spaces. Zbl 0138.38604Pełczyński, Aleksander 89 1965 Basic sequences, bi-orthogonal systems and norming sets in Banach and Fréchet spaces. Zbl 0135.34504Kadets, M. I.; Pełczyński, Aleksander 10 1965 An example of a non-shrinking basis. Zbl 0154.14404Pełczyński, Aleksander; Szlenk, W. 7 1965 A remark on spaces \(2^ X\) for zero-dimensional X. Zbl 0137.16103Pełczyński, Aleksander 5 1965 A remark on the preceding paper of I. Singer. Zbl 0137.09701Pełczyński, Aleksander 1 1965 On non-equivalent bases and conditional bases in Banach spaces. Zbl 0187.05403Pełczyński, Aleksander; Singer, Ivan 29 1964 Some problems on bases in Banach and Frechet spaces. Zbl 0203.43203Pełczyński, A. 16 1964 On simultaneous extension of continuous functions. A generalization of theorems of Rudin-Carleson and Bishop. Zbl 0145.16204Pełczyński, Aleksander 8 1964 A proof of Eberlein-Šmulian theorem by an application of basic sequences. Zbl 0187.05402Pełczyński, Aleksander 7 1964 Remarks on dyadic spaces. Zbl 0123.15905Engelking, Ryszard; Pełczyński, Aleksander 13 1963 A theorem of Dunford-Petties type for polynomial operators. Zbl 0117.33203Pełczyński, Aleksander 7 1963 Sur l’injecion naturelle de l’espace \((l)\) dans l’espace \((l_ p)\). Zbl 0132.09001Pełczyński, Aleksander; Szlenk, W. 3 1963 Bases, lacunary sequences and complemented subspaces in the spaces \(L_ p\). Zbl 0102.32202Kadets, M. I.; Pełczyński, Aleksander 99 1962 Banach spaces on which every unconditionally converging operator is weakly compact. Zbl 0107.32504Pełczyński, Aleksander 84 1962 A note on the paper of I. Singer ’Basic sequences and reflexivity of Banach spaces’. Zbl 0114.30904Pełczyński, Aleksander 21 1962 Remark on non-complemented subspaces of the space \(m(S)\). Zbl 0107.32603Pełczyński, Aleksander; Sudakov, V. N. 12 1962 Some remarks on homeomorphisms of \(F\)-spaces. Zbl 0103.32801Bessaga, Czeslaw; Pełczyński, Aleksander 11 1962 Beweis eines Satzes von Grothendieck über die Charakterisierung der nuklearen Räume. Zbl 0123.30302Pełczyński, Aleksander 1 1962 On diametral approximative dimension and linear homogeneity of \(F\)-spaces. Zbl 0109.33502Bessaga, Czeslaw; Pełczyński, Aleksander; Rolewicz, Stefan 30 1961 On the impossibility of embedding of the space \(L\) in certain Banach spaces. Zbl 0099.09501Pełczyński, Aleksander 10 1961 Some remarks on homeomorphism of Banach spaces. Zbl 0102.10001Bessaga, Czeslaw; Pełczyński, Aleksander 7 1961 Projections in certain Banach spaces. Zbl 0104.08503Pełczyński, Aleksander 195 1960 Spaces of continuous functions. IV: On isomorphical classification of spaces of continuous functions. Zbl 0094.30303Bessaga, Czeslaw; Pełczyński, Aleksander 81 1960 Banach spaces non-isomorphic to their cartesian squares. I. Zbl 0091.27801Bessaga, Czeslaw; Pełczyński, Aleksander 7 1960 Spaces of continuous functions. III: Spaces \(C(\varOmega)\) for \(\varOmega\) without perfect subsets. Zbl 0091.27803Pełczyński, A.; Semadeni, Zbigniew 82 1959 Some properties of the space (\(s\)). Zbl 0090.32702Bessaga, Czeslaw; Pełczyński, Aleksander; Rolewicz, Stefan 10 1959 Properties of bases in spaces of type \(B_0\). Zbl 0097.09203Bessaga, Czeslaw; Pełczyński, Aleksander 7 1959 On Mikusiński theorem of bounded moments. Zbl 0177.40201Pełczyński, Aleksander 1 1959 ...and 13 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,589 Authors 34 Johnson, William Buhmann 31 Lindenstrauss, Joram 26 Astashkin, Sergeĭ Vladimir 25 González Ortiz, Manuel 24 Banakh, Taras Onufrievich 22 Kalton, Nigel John 21 Pellegrino, Daniel Marinho 21 van Mill, Jan 20 Castillo, Jesús M. F. 19 Ansorena, José Luis 19 Argyros, Spiros A. 18 Albiac, Fernando 18 Galego, Elói Medina 18 Oja, Eve 18 Rosenthal, Haskell P. 17 Hájek, Petr 17 Wojtaszczyk, Przemyslaw 16 Jeribi, Aref 16 Sukochev, Fedor Anatol’evich 15 Retherford, James R. 15 Tradacete Pérez, Pedro 14 Schlumprecht, Thomas 13 Causey, Ryan Michael 13 Dilworth, Stephen J. 13 Dobrowolski, Tadeusz 13 Odell, Edward 13 Schechtman, Gideon 12 Dobrakov, Ivan 12 Gutiérrez, Joaquín M. 12 Koszmider, Piotr B. 12 Zippin, M. 11 Davis, William Jay 11 Ghenciu, Ioana 11 Gordon, Yehoram 11 Laustsen, Niels Jakob 11 Pełczyński, Aleksander 11 Tzafriri, Lior 10 Benyamini, Yoav 10 Cabello Sánchez, Félix 10 Casazza, Peter George 10 Dijkstra, Jan J. 10 Figiel, Tadeusz 10 Fonf, Vladimir P. 10 Kania, Tomasz 10 Kislyakov, Sergeĭ Vital’evich 10 Lewis, D. R. 10 Martínez-Abejón, Antonio 10 Moreno, Yolanda 10 Naor, Assaf 10 Sakai, Katsuro 10 Zheng, Bentuo 9 Aizpuru Tomás, Antonio 9 Aviles Lopez, Antonio 9 Bonet Solves, José 9 Botelho, Geraldo 9 Diestel, Joseph 9 König, Hermann 9 Maligranda, Lech 9 Pisier, Gilles 9 Singer, Ivan 9 Zizler, Vaclav E. 8 Alspach, Dale E. 8 Bourgain, Jean 8 Carando, Daniel G. 8 Cilia, Raffaella 8 Dowling, Patrick N. 8 Godefroy, Gilles 8 Hernández Rodriguez, Francisco L. 8 Junge, Marius 8 Lancien, Gilles 8 Lopez-Abad, Jordi 8 Motakis, Pavlos 8 Repovš, Dušan D. 8 Semënov, Evgeniĭ Mikhaĭlovich 8 Valov, Vesko M. 7 Álvarez Seco, Teresa 7 Chen, Dongyang 7 Gasparis, Ioannis 7 Holub, James R. 7 Latrach, Khalid 7 Lewis, Paul W. 7 Lusky, Wolfgang 7 Mujica, Jorge 7 Oikhberg, Timur 7 Ostrovskii, Mikhail Iosifovich 7 Pello, Javier 7 Piñeiro, Cándido 7 Plichko, Anatoliĭ Mykolaĭovych 7 Rodríguez Ruiz, José 7 Rueda, Pilar 7 Seoane-Sepúlveda, Juan Benigno 7 Weis, Lutz W. 6 Bu, Qingying 6 Defant, Andreas 6 Dodds, Peter G. 6 Dodos, Pandelis 6 Emmanuele, Giovanni 6 Galicer, Daniel 6 John, Kamil 6 Jonard-Pérez, Natalia ...and 1,489 more Authors all top 5 Cited in 232 Serials 187 Journal of Mathematical Analysis and Applications 174 Proceedings of the American Mathematical Society 173 Israel Journal of Mathematics 169 Journal of Functional Analysis 111 Topology and its Applications 95 Transactions of the American Mathematical Society 76 Mathematische Annalen 42 Mathematical Notes 42 Archiv der Mathematik 37 Czechoslovak Mathematical Journal 34 Advances in Mathematics 32 Mathematische Zeitschrift 31 Bulletin of the American Mathematical Society 29 Compositio Mathematica 25 Positivity 24 Rocky Mountain Journal of Mathematics 24 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 22 Siberian Mathematical Journal 21 Journal of Approximation Theory 20 Studia Mathematica 17 Integral Equations and Operator Theory 16 Arkiv för Matematik 16 Indagationes Mathematicae. New Series 15 Annales de l’Institut Fourier 15 Linear Algebra and its Applications 14 Functional Analysis and its Applications 14 Mathematische Nachrichten 14 Quaestiones Mathematicae 14 Journal of Mathematical Sciences (New York) 13 Acta Mathematica 12 Manuscripta Mathematica 11 Results in Mathematics 10 Monatshefte für Mathematik 10 Mediterranean Journal of Mathematics 10 Bulletin de la Société Mathématique de France. Supplément. Mémoires 10 Banach Journal of Mathematical Analysis 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 St. Petersburg Mathematical Journal 8 Bulletin of the Australian Mathematical Society 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Acta Mathematica Sinica. English Series 7 Ukrainian Mathematical Journal 7 Duke Mathematical Journal 7 Illinois Journal of Mathematics 7 Publications of the Research Institute for Mathematical Sciences, Kyoto University 7 Acta Mathematica Hungarica 7 Aequationes Mathematicae 7 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 7 Bulletin of the American Mathematical Society. New Series 7 Bulletin des Sciences Mathématiques 7 The Journal of Fourier Analysis and Applications 7 Central European Journal of Mathematics 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Bulletin of the London Mathematical Society 6 Journal of Soviet Mathematics 6 Memoirs of the American Mathematical Society 5 Commentationes Mathematicae Universitatis Carolinae 5 Functiones et Approximatio. Commentarii Mathematici 5 Mathematica Slovaca 5 Mathematika 5 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 5 Constructive Approximation 5 Journal of the American Mathematical Society 5 The Journal of Geometric Analysis 5 Journal of Convex Analysis 5 Revista Matemática Complutense 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Acta Applicandae Mathematicae 4 Discrete & Computational Geometry 4 Abstract and Applied Analysis 4 Forum of Mathematics, Sigma 4 Nonlinear Analysis. Theory, Methods & Applications 4 Advances in Operator Theory 3 Journal d’Analyse Mathématique 3 The Annals of Probability 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Glasgow Mathematical Journal 3 Inventiones Mathematicae 3 Pacific Journal of Mathematics 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Sbornik: Mathematics 3 Doklady Mathematics 3 Journal of Inequalities and Applications 3 Annals of Functional Analysis 3 Journal of Function Spaces 3 Open Mathematics 3 Korean Journal of Mathematics 2 American Mathematical Monthly 2 Analysis Mathematica 2 Linear and Multilinear Algebra 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Bulletin de la Société Mathématique de France 2 Canadian Journal of Mathematics 2 Collectanea Mathematica 2 Colloquium Mathematicum 2 Dissertationes Mathematicae 2 Fundamenta Mathematicae 2 Fuzzy Sets and Systems 2 Journal of Differential Equations ...and 132 more Serials all top 5 Cited in 54 Fields 1,452 Functional analysis (46-XX) 581 Operator theory (47-XX) 257 General topology (54-XX) 91 Manifolds and cell complexes (57-XX) 81 Convex and discrete geometry (52-XX) 78 Measure and integration (28-XX) 66 Harmonic analysis on Euclidean spaces (42-XX) 56 Mathematical logic and foundations (03-XX) 50 Approximations and expansions (41-XX) 49 Topological groups, Lie groups (22-XX) 49 Probability theory and stochastic processes (60-XX) 43 Abstract harmonic analysis (43-XX) 36 Real functions (26-XX) 33 Functions of a complex variable (30-XX) 33 Global analysis, analysis on manifolds (58-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 22 Sequences, series, summability (40-XX) 21 Partial differential equations (35-XX) 18 Order, lattices, ordered algebraic structures (06-XX) 18 Several complex variables and analytic spaces (32-XX) 17 Combinatorics (05-XX) 17 Ordinary differential equations (34-XX) 16 Algebraic topology (55-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 12 Dynamical systems and ergodic theory (37-XX) 12 Difference and functional equations (39-XX) 11 Category theory; homological algebra (18-XX) 9 Numerical analysis (65-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 General and overarching topics; collections (00-XX) 8 History and biography (01-XX) 8 Computer science (68-XX) 7 Group theory and generalizations (20-XX) 7 Geometry (51-XX) 6 Differential geometry (53-XX) 6 Quantum theory (81-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Nonassociative rings and algebras (17-XX) 5 Statistics (62-XX) 5 Operations research, mathematical programming (90-XX) 4 Number theory (11-XX) 4 Associative rings and algebras (16-XX) 4 Integral transforms, operational calculus (44-XX) 4 Information and communication theory, circuits (94-XX) 3 Potential theory (31-XX) 3 Special functions (33-XX) 3 Integral equations (45-XX) 3 Systems theory; control (93-XX) 2 Fluid mechanics (76-XX) 2 Biology and other natural sciences (92-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 \(K\)-theory (19-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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