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## Pełczyński, Aleksander

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 Author ID: pelczynski.aleksander Published as: Pelczynski, A.; Pelczynski, Aleksander; Pelczyński, Aleksander; Pełczynski, A.; Pełczynski, Aleksander; Pełczyński, A.; Pełczyński, Aleksander External Links: MGP · Math-Net.Ru · Wikidata · GND
 Documents Indexed: 141 Publications since 1957, including 6 Books Biographic References: 4 Publications
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#### Co-Authors

 59 single-authored 23 Bessaga, Czeslaw 9 Wojciechowski, Michał 6 Figiel, Tadeusz 6 Kwapień, Stanisław 5 Rolewicz, Stefan 3 Michael, Ernest A. 2 Casazza, Peter George 2 Johnson, William Buhmann 2 Kadets, Mikhail I. 2 Lindenstrauss, Joram 2 Mityagin, Boris Samuilovich 2 Ovsepian, R. I. 2 Rosenthal, Haskell P. 2 Semadeni, Zbigniew 2 Senator, Kazimierz 2 Szlenk, Wieslaw 2 Wojtaszczyk, Przemyslaw 1 Aizenberg, Lev 1 Alberti, Giovanni 1 Berkson, Earl 1 Białynicki-Birula, Andrzej S. 1 Billard, Pierre 1 Blasco, Oscar 1 Bourgain, Jean 1 Ciesielski, Zbigniew 1 Csörnyei, Marianna 1 Davis, William Jay 1 Delbaen, Freddy 1 Diestel, Joseph 1 Dubinsky, Ed 1 Engelking, Ryszard 1 Godefroy, Gilles 1 Khavin, Viktor Petrovich 1 Iwaniec, Tadeusz 1 Jarchow, Hans 1 Kalton, Nigel John 1 Komarchev, I. A. 1 Makarov, Boris M. 1 Maurey, Bernard 1 Oleszkiewicz, Krzysztof 1 Preiss, David 1 Samuel, Christian 1 Schütt, Carsten 1 Semënov, Evgeniĭ Mikhaĭlovich 1 Singer, Ivan 1 Skiba, N. I. 1 Skrzypczak, Leszek 1 Sudakov, Vladimir Nikolaevich 1 Sukochev, Fedor Anatol’evich 1 Szarek, Stanislaw Jerzy 1 Tomczak-Jaegermann, Nicole 1 Toruńczyk, Henryk 1 Trutnev, V. M. 1 Vershynin, Roman 1 Zakharyuta, Vyacheslav Pavlovich
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#### 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 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 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae 1 Studia Mathematica, Seria Specjalna
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#### Fields

 71 Functional analysis (46-XX) 16 Operator theory (47-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 History and biography (01-XX) 4 Abstract harmonic analysis (43-XX) 3 General topology (54-XX) 3 Manifolds and cell complexes (57-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Integral transforms, operational calculus (44-XX) 2 Convex and discrete geometry (52-XX) 1 Measure and integration (28-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX)

#### Citations contained in zbMATH

105 Publications have been cited 2,573 times in 1,922 Documents Cited by Year
Absolutely summing operators in $$L_{p}$$-spaces and their applications. Zbl 0183.40501
Lindenstrauss, Joram; Pełczyński, Aleksander
1968
Selected topics in infinite-dimensional topology. Zbl 0304.57001
Bessaga, Czeslaw; Pełczyński, Aleksander
1975
On bases and unconditional convergence of series in Banach spaces. Zbl 0084.09805
Bessaga, Czeslaw; Pełczyński, Aleksander
1958
Projections in certain Banach spaces. Zbl 0104.08503
Pełczyński, Aleksander
1960
Factoring weakly compact operators. Zbl 0306.46020
Davis, W. J.; Figiel, T.; Johnson, W. B.; Pełczyński, Aleksander
1974
Bases, lacunary sequences and complemented subspaces in the spaces $$L_ p$$. Zbl 0102.32202
1962
Banach spaces on which every unconditionally converging operator is weakly compact. Zbl 0107.32504
Pełczyński, Aleksander
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 0138.38604
Pełczyński, Aleksander
1965
Spaces of continuous functions. III: Spaces $$C(\varOmega)$$ for $$\varOmega$$ without perfect subsets. Zbl 0091.27803
1959
Spaces of continuous functions. IV: On isomorphical classification of spaces of continuous functions. Zbl 0094.30303
Bessaga, Czeslaw; Pełczyński, Aleksander
1960
The main triangle projection in matrix spaces and its applications. Zbl 0189.43505
Kwapien, S.; Pełczyński, Aleksander
1970
Linear extensions, linear averagings, and their applications to linear topological classification of spaces of continuous functions. Zbl 0165.14603
Pełczyński, Aleksander
1968
Contributions to the theory of the classical Banach spaces. Zbl 0224.46041
Lindenstrauss, J.; Pełczyński, A.
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 0317.46019
Ovsepian, R. I.; Pełczyński, Aleksander
1975
Localization techniques in L$$^p$$ spaces. Zbl 0297.46023
Pełczyński, Aleksander; Rosenthal, H. P.
1975
Any separable Banach space with the bounded approximation property is a complemented subspace of a Banach space with a basis. Zbl 0223.46019
Pełczyński, A.
1971
On Banach spaces containing $$L_ 1 (\mu)$$. Zbl 0159.18102
Pełczynski, Aleksander
1968
On $$C(S)$$-subspaces of separable Banach spaces. Zbl 0169.15402
Pełczyński, Aleksander
1968
Universal bases. Zbl 0185.37401
Pełczyński, Aleksander
1969
On diametral approximative dimension and linear homogeneity of $$F$$-spaces. Zbl 0109.33502
Bessaga, Czeslaw; Pełczyński, Aleksander; Rolewicz, Stefan
1961
On Banach spaces X for which $$\Pi_2(L_\infty,X)=B(L_\infty,X)$$. Zbl 0262.46018
Dubinsky, Ed; Pełczyński, Aleksander; Rosenthal, H. P.
1972
Separable Banach spaces which admit $$I^ \infty_ n$$ approximations. Zbl 0151.17602
Michael, Ernest; Pełczyński, Aleksander
1966
On extreme points in separable conjugate spaces. Zbl 0145.16102
Bessaga, Czesław; Pełczyński, Aleksander
1966
On non-equivalent bases and conditional bases in Banach spaces. Zbl 0187.05403
Pełczyński, Aleksander; Singer, Ivan
1964
Some approximation properties of Banach spaces and Banach lattices. Zbl 1235.46027
Figiel, Tadeusz; Johnson, William B.; Pełczyński, Aleksander
2011
A generalization of results of R. C. James concerning absolute bases in Banach spaces. Zbl 0084.10001
Bessaga, Czeslaw; Pełczyński, Aleksander
1958
The estimated extension theorem, homogeneous collections and skeletons, and their applications to the topological classification of linear metric spaces and convex sets. Zbl 0204.12801
Bessaga, Czeslaw; Pełczyński, Aleksander
1970
A note on the paper of I. Singer ’Basic sequences and reflexivity of Banach spaces’. Zbl 0114.30904
Pełczyński, Aleksander
1962
Kernels of surjections from $${\mathcal L}_1$$-spaces with an application to Sidon sets. Zbl 0901.46008
Kalton, N. J.; Pełczyński, A.
1997
On the isomorphism of the spaces $$m$$ and $$M$$. Zbl 0085.09406
Pełczyński, Aleksander
1958
All separable Banach spaces admit for every $$\varepsilon >0$$ fundamental total and bounded by $$1+\varepsilon$$ biorthogonal sequences. Zbl 0336.46023
Pełczyński, Aleksander
1976
Banach spaces with finite dimensional expansions of identity and universal bases of finite dimensional subspaces. Zbl 0221.46014
Pełczyński, A.; Wojtaszczyk, P.
1971
Some problems on bases in Banach and Frechet spaces. Zbl 0203.43203
Pełczyński, A.
1964
A property of multilinear operations. Zbl 0080.09701
Pełczyński, Aleksander
1957
Polydisc slicing in $$\mathbb{C}^n$$. Zbl 0971.32018
Oleszkiewicz, Krzysztof; Pełczyński, Aleksander
2000
On parallelepipeds of minimal volume containing a convex symmetric body in $${\mathbb{R}}^ n$$. Zbl 0718.52007
Pelczynski, A.; Szarek, S. J.
1991
A linear extension theorem. Zbl 0171.10901
Michael, Ernest; Pełczyński, Aleksander
1967
A characterization of Hilbert-Schmidt operators. Zbl 0156.38001
Pełczyński, Aleksander
1967
Remarks on dyadic spaces. Zbl 0123.15905
Engelking, Ryszard; Pełczyński, Aleksander
1963
A connection between weakly unconditional convergence and weakly completeness of Banach spaces. Zbl 0082.10804
Pełczyński, Aleksander
1958
Some remarks on conjugate spaces containing subspaces isomorphic to the space $$c_0$$. Zbl 0082.10803
Bessaga, Czeslaw; Pełczyński, Aleksander
1958
Banach spaces of analytic functions and absolutely summing operators. Reprint. Zbl 0475.46022
Pełczyński, Aleksander
1980
Some properties of the space ($$s$$). Zbl 0090.32702
Bessaga, Czeslaw; Pełczyński, Aleksander; Rolewicz, Stefan
1959
Molecular decompositions and embedding theorems for vector-valued Sobolev spaces with gradient norm. Zbl 0811.46028
Pełczyński, A.; Wojciechowski, M.
1993
Theorems of Hardy and Paley for vector-valued analytic functions and related classes of Banach spaces. Zbl 0744.46039
Blasco, O.; Pelczynski, A.
1991
Nuclear operators and approximative dimension. Zbl 0191.41704
Mityagin, B. S.; Pelczyński, Aleksander
1968
Some remarks on homeomorphisms of $$F$$-spaces. Zbl 0103.32801
Bessaga, Czeslaw; Pełczyński, Aleksander
1962
Basic sequences, bi-orthogonal systems and norming sets in Banach and Fréchet spaces. Zbl 0135.34504
1965
Absolutely summing operators and translation invariant spaces of functions on compact abelian groups. Zbl 0435.43002
Kwapien, S.; Pełczyński, Aleksander
1980
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 0384.46015
Pełczyński, Aleksander
1977
Remark on non-complemented subspaces of the space $$m(S)$$. Zbl 0107.32603
Pełczyński, Aleksander; Sudakov, V. N.
1962
On the impossibility of embedding of the space $$L$$ in certain Banach spaces. Zbl 0099.09501
Pełczyński, Aleksander
1961
On a class of $$B_ 0$$-spaces. Zbl 0077.31002
Bessaga, Czeslaw; Pełczyński, Aleksander
1957
Some linear topological properties of separable function algebras. Zbl 0168.11201
Pełczyński, Aleksander
1967
Subspaces of $$L_p$$ isometric to subspaces of $$\ell_p$$. Zbl 0934.46008
Delbaen, F.; Jarchow, H.; Pełczyński, A.
1998
An example of a non-shrinking basis. Zbl 0154.14404
Pełczyński, Aleksander; Szlenk, W.
1965
A proof of Eberlein-Šmulian theorem by an application of basic sequences. Zbl 0187.05402
Pełczyński, Aleksander
1964
On simultaneous extension of continuous functions. A generalization of theorems of Rudin-Carleson and Bishop. Zbl 0145.16204
Pełczyński, Aleksander
1964
A theorem of Dunford-Petties type for polynomial operators. Zbl 0117.33203
Pełczyński, Aleksander
1963
Some remarks on homeomorphism of Banach spaces. Zbl 0102.10001
Bessaga, Czeslaw; Pełczyński, Aleksander
1961
Properties of bases in spaces of type $$B_0$$. Zbl 0097.09203
Bessaga, Czeslaw; Pełczyński, Aleksander
1959
Spaces of functions with bounded variation and Sobolev spaces without local unconditional structure. Zbl 1032.46029
Pełczyński, Aleksander; Wojciechowski, Michał
2003
Commensurate sequences of characters. Zbl 0693.46044
Pełczyński, A.
1988
Sharp estimates for the constants of local unconditional structure of Minkowski spaces. Zbl 0379.46012
Figiel, Tadeusz; Kwapien, Stanislaw; Pełczyński, Aleksander
1978
p-integral operators commuting with group representations and examples of quasi-p-integral operators which are not p-integral. Zbl 0189.43701
Pełczyński, Aleksander
1969
Banach spaces non-isomorphic to their cartesian squares. I. Zbl 0091.27801
Bessaga, Czeslaw; Pełczyński, Aleksander
1960
Some properties of the norm in F-spaces. Zbl 0080.31301
Bessaga, Czeslaw; Pełczyński, Aleksander; Rolewicz, Stefan
1957
Sobolev spaces. Zbl 1044.46031
Pełczyński, Aleksander; Wojciechowski, Michał
2003
Biorthogonal systems of random unconditional convergence in Banach spaces. Zbl 0749.46011
Billard, P.; Kwapień, S.; Pełczyński, A.; Samuel, Ch.
1986
On spaces of measurable functions. Zbl 0256.46048
Bessaga, Czeslaw; Pełczyński, Aleksander
1972
A topological proof that every separable Banach space is homeomorphic to a countable product of lines. Zbl 0181.40001
Bessaga, Czeslaw; Pełczyński, Aleksander
1969
A remark on spaces $$2^ X$$ for zero-dimensional X. Zbl 0137.16103
Pełczyński, Aleksander
1965
On subspaces of a space with an absolute basis. Zbl 0083.10304
Bessaga, Czeslaw; Pełczyński, Aleksander
1958
On the approximation of S-spaces by finite dimensional spaces. Zbl 0078.28703
Pełczyński, Aleksander
1957
On B-spaces containing subspaces isomorphic to the space c. Zbl 0078.10403
Pełczyński, Aleksander
1957
BV has the bounded approximation property. Zbl 1091.46011
Alberti, G.; Csörnyei, M.; Pełczyński, A.; Preiss, D.
2005
On isomorphisms of anisotropic Sobolev spaces with “classical Banach spaces” and a Sobolev type embedding theorem. Zbl 0628.46027
Pełczyński, A.; Senator, K.
1986
Remarks on absolutely summing translation invariant operators from the disc algebra and its dual into a Hilbert space. Zbl 0391.46041
Kwapien, S.; Pełczyński, Aleksander
1978
Sur certaines propriétés isomorphiques nouvelles des espaces de Banach de fonctions holomorphes A et H$$^\infty$$. Zbl 0285.46020
Pełczyński, Aleksander
1974
Peaked partition subspaces of $$C(X)$$. Zbl 0171.10805
Michael, Ernest; Pełczyński, Aleksander
1967
Uncompemented function algebras with separable annihilators. Zbl 0148.11903
Pełczyński, Aleksander
1966
A generalisation of Stone’s theorem on approximation. Zbl 0078.10404
Pełczyński, Aleksander
1957
Some remarks on Toeplitz multipliers and Hankel matrices. Zbl 1105.47025
Pełczyński, Aleksander; Sukochev, Fyodor
2006
Remarks on John’s theorem on the ellipsoid of maximal volume inscribed into a convex symmetric body in $${\mathbb{R}{}}^ n$$. Zbl 0785.46011
Pelczynski, Aleksander
1990
Norms of classical operators in function spaces. Zbl 0582.47033
Pełczynski, A.
1985
Computing norms and critical exponents of some operators in $$L^ p$$- spaces. Zbl 0599.46035
Figiel, T.; Iwaniec, T.; Pełczyński, A.
1984
Geometry of finite dimensional Banach spaces and operator ideals. Zbl 0461.46014
Pełczyński, Aleksander
1980
The spaces of Lebesgue measurable functions on the interval $$[0;1]$$ is homeomorphic to the countable infinite product of lines. Zbl 0215.19804
Bessaga, Czeslaw; Pełczyński, A.
1970
Sur l’injecion naturelle de l’espace $$(l)$$ dans l’espace $$(l_ p)$$. Zbl 0132.09001
Pełczyński, Aleksander; Szlenk, W.
1963
An extension of the Krein-Milman-Rutman theorem concerning bases to the case of $$B_ 0$$-spaces. Zbl 0077.31003
Bessaga, Czeslaw; Pełczyński, Aleksander
1957
Selected problems on the structure of complemented subspaces of Banach spaces. Zbl 1130.46003
Pelczyński, Aleksander
2006
Some linear topological properties of the Hardy spaces $$H^p$$. Zbl 0342.46015
Kwapien, S.; Pełczyński, Aleksander
1976
A criterion for compositions of (p,q) -absolutely summing operators to be compact. Zbl 0321.47016
Maurey, B.; Pełczyński, Aleksander
1976
A tribute to Nigel J. Kalton (1946–2010). Zbl 1284.01055
Casazza, Peter G. (ed.); Pelczyński, Aleksander; Diestel, Joe; Vershynin, Roman; Godefroy, Gilles
2012
Sobolev spaces in several variables in $$L^1$$-type norms are not isomorphic to Banach lattices. Zbl 1021.46026
Pełczyński, Aleksander; Wojciechowski, Michał
2002
On the length of faithful nuclear representations of finite rank operators. Zbl 0654.47007
Pełczynski, A.; Tomczak-Jaegermann, Nicole
1988
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 0484.46016
Pełczyński, Aleksander; Schuett, C.
1981
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 0302.46008
Ovsepian, R. I.; Pełczyński, Aleksander
1974
On a result of Olevskii: a uniformly bounded orthonormal sequence is not a basis for C$$[0,1]$$. Zbl 0298.46024
Pełczyński, Aleksander
1974
On Enflo’s method of construction of Banach spaces without the approximation property. Zbl 0305.46027
Pełczyński, Aleksander; Figiel, T.
1973
A tribute to Nigel J. Kalton (1946–2010). Zbl 1284.01055
Casazza, Peter G. (ed.); Pelczyński, Aleksander; Diestel, Joe; Vershynin, Roman; Godefroy, Gilles
2012
Some approximation properties of Banach spaces and Banach lattices. Zbl 1235.46027
Figiel, Tadeusz; Johnson, William B.; Pełczyński, Aleksander
2011
Some remarks on Toeplitz multipliers and Hankel matrices. Zbl 1105.47025
Pełczyński, Aleksander; Sukochev, Fyodor
2006
Selected problems on the structure of complemented subspaces of Banach spaces. Zbl 1130.46003
Pelczyński, Aleksander
2006
BV has the bounded approximation property. Zbl 1091.46011
Alberti, G.; Csörnyei, M.; Pełczyński, A.; Preiss, D.
2005
Spaces of functions with bounded variation and Sobolev spaces without local unconditional structure. Zbl 1032.46029
Pełczyński, Aleksander; Wojciechowski, Michał
2003
Sobolev spaces. Zbl 1044.46031
Pełczyński, Aleksander; Wojciechowski, Michał
2003
Sobolev spaces in several variables in $$L^1$$-type norms are not isomorphic to Banach lattices. Zbl 1021.46026
Pełczyński, Aleksander; Wojciechowski, Michał
2002
Polydisc slicing in $$\mathbb{C}^n$$. Zbl 0971.32018
Oleszkiewicz, Krzysztof; Pełczyński, Aleksander
2000
Subspaces of $$L_p$$ isometric to subspaces of $$\ell_p$$. Zbl 0934.46008
Delbaen, F.; Jarchow, H.; Pełczyński, A.
1998
Kernels of surjections from $${\mathcal L}_1$$-spaces with an application to Sidon sets. Zbl 0901.46008
Kalton, N. J.; Pełczyński, A.
1997
Molecular decompositions and embedding theorems for vector-valued Sobolev spaces with gradient norm. Zbl 0811.46028
Pełczyński, A.; Wojciechowski, M.
1993
On parallelepipeds of minimal volume containing a convex symmetric body in $${\mathbb{R}}^ n$$. Zbl 0718.52007
Pelczynski, A.; Szarek, S. J.
1991
Theorems of Hardy and Paley for vector-valued analytic functions and related classes of Banach spaces. Zbl 0744.46039
Blasco, O.; Pelczynski, A.
1991
Remarks on John’s theorem on the ellipsoid of maximal volume inscribed into a convex symmetric body in $${\mathbb{R}{}}^ n$$. Zbl 0785.46011
Pelczynski, Aleksander
1990
Commensurate sequences of characters. Zbl 0693.46044
Pełczyński, A.
1988
On the length of faithful nuclear representations of finite rank operators. Zbl 0654.47007
Pełczynski, A.; Tomczak-Jaegermann, Nicole
1988
Biorthogonal systems of random unconditional convergence in Banach spaces. Zbl 0749.46011
Billard, P.; Kwapień, S.; Pełczyński, A.; Samuel, Ch.
1986
On isomorphisms of anisotropic Sobolev spaces with “classical Banach spaces” and a Sobolev type embedding theorem. Zbl 0628.46027
Pełczyński, A.; Senator, K.
1986
Norms of classical operators in function spaces. Zbl 0582.47033
Pełczynski, A.
1985
Computing norms and critical exponents of some operators in $$L^ p$$- spaces. Zbl 0599.46035
Figiel, T.; Iwaniec, T.; Pełczyński, A.
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 0484.46016
Pełczyński, Aleksander; Schuett, C.
1981
Banach spaces of analytic functions and absolutely summing operators. Reprint. Zbl 0475.46022
Pełczyński, Aleksander
1980
Absolutely summing operators and translation invariant spaces of functions on compact abelian groups. Zbl 0435.43002
Kwapien, S.; Pełczyński, Aleksander
1980
Geometry of finite dimensional Banach spaces and operator ideals. Zbl 0461.46014
Pełczyński, Aleksander
1980
Sharp estimates for the constants of local unconditional structure of Minkowski spaces. Zbl 0379.46012
Figiel, Tadeusz; Kwapien, Stanislaw; Pełczyński, Aleksander
1978
Remarks on absolutely summing translation invariant operators from the disc algebra and its dual into a Hilbert space. Zbl 0391.46041
Kwapien, S.; Pełczyński, Aleksander
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 0384.46015
Pełczyński, Aleksander
1977
All separable Banach spaces admit for every $$\varepsilon >0$$ fundamental total and bounded by $$1+\varepsilon$$ biorthogonal sequences. Zbl 0336.46023
Pełczyński, Aleksander
1976
Some linear topological properties of the Hardy spaces $$H^p$$. Zbl 0342.46015
Kwapien, S.; Pełczyński, Aleksander
1976
A criterion for compositions of (p,q) -absolutely summing operators to be compact. Zbl 0321.47016
Maurey, B.; Pełczyński, Aleksander
1976
Selected topics in infinite-dimensional topology. Zbl 0304.57001
Bessaga, Czeslaw; Pełczyński, Aleksander
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 0317.46019
Ovsepian, R. I.; Pełczyński, Aleksander
1975
Localization techniques in L$$^p$$ spaces. Zbl 0297.46023
Pełczyński, Aleksander; Rosenthal, H. P.
1975
Factoring weakly compact operators. Zbl 0306.46020
Davis, W. J.; Figiel, T.; Johnson, W. B.; Pełczyński, Aleksander
1974
Sur certaines propriétés isomorphiques nouvelles des espaces de Banach de fonctions holomorphes A et H$$^\infty$$. Zbl 0285.46020
Pełczyński, Aleksander
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 0302.46008
Ovsepian, R. I.; Pełczyński, Aleksander
1974
On a result of Olevskii: a uniformly bounded orthonormal sequence is not a basis for C$$[0,1]$$. Zbl 0298.46024
Pełczyński, Aleksander
1974
On Enflo’s method of construction of Banach spaces without the approximation property. Zbl 0305.46027
Pełczyński, Aleksander; Figiel, T.
1973
On some problems of Banach. Zbl 0288.46016
Pełczyński, Aleksander
1973
On Banach spaces X for which $$\Pi_2(L_\infty,X)=B(L_\infty,X)$$. Zbl 0262.46018
Dubinsky, Ed; Pełczyński, Aleksander; Rosenthal, H. P.
1972
On spaces of measurable functions. Zbl 0256.46048
Bessaga, Czeslaw; Pełczyński, Aleksander
1972
Contributions to the theory of the classical Banach spaces. Zbl 0224.46041
Lindenstrauss, J.; Pełczyński, A.
1971
Any separable Banach space with the bounded approximation property is a complemented subspace of a Banach space with a basis. Zbl 0223.46019
Pełczyński, A.
1971
Banach spaces with finite dimensional expansions of identity and universal bases of finite dimensional subspaces. Zbl 0221.46014
Pełczyński, A.; Wojtaszczyk, P.
1971
The main triangle projection in matrix spaces and its applications. Zbl 0189.43505
Kwapien, S.; Pełczyński, Aleksander
1970
The estimated extension theorem, homogeneous collections and skeletons, and their applications to the topological classification of linear metric spaces and convex sets. Zbl 0204.12801
Bessaga, Czeslaw; Pełczyński, Aleksander
1970
The spaces of Lebesgue measurable functions on the interval $$[0;1]$$ is homeomorphic to the countable infinite product of lines. Zbl 0215.19804
Bessaga, Czeslaw; Pełczyński, A.
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 0199.18701
Pełczyński, Aleksander
1970
Universal bases. Zbl 0185.37401
Pełczyński, Aleksander
1969
p-integral operators commuting with group representations and examples of quasi-p-integral operators which are not p-integral. Zbl 0189.43701
Pełczyński, Aleksander
1969
A topological proof that every separable Banach space is homeomorphic to a countable product of lines. Zbl 0181.40001
Bessaga, Czeslaw; Pełczyński, Aleksander
1969
Absolutely summing operators in $$L_{p}$$-spaces and their applications. Zbl 0183.40501
Lindenstrauss, Joram; Pełczyński, Aleksander
1968
Linear extensions, linear averagings, and their applications to linear topological classification of spaces of continuous functions. Zbl 0165.14603
Pełczyński, Aleksander
1968
On Banach spaces containing $$L_ 1 (\mu)$$. Zbl 0159.18102
Pełczynski, Aleksander
1968
On $$C(S)$$-subspaces of separable Banach spaces. Zbl 0169.15402
Pełczyński, Aleksander
1968
Nuclear operators and approximative dimension. Zbl 0191.41704
Mityagin, B. S.; Pelczyński, Aleksander
1968
A linear extension theorem. Zbl 0171.10901
Michael, Ernest; Pełczyński, Aleksander
1967
A characterization of Hilbert-Schmidt operators. Zbl 0156.38001
Pełczyński, Aleksander
1967
Some linear topological properties of separable function algebras. Zbl 0168.11201
Pełczyński, Aleksander
1967
Peaked partition subspaces of $$C(X)$$. Zbl 0171.10805
Michael, Ernest; Pełczyński, Aleksander
1967
Separable Banach spaces which admit $$I^ \infty_ n$$ approximations. Zbl 0151.17602
Michael, Ernest; Pełczyński, Aleksander
1966
On extreme points in separable conjugate spaces. Zbl 0145.16102
Bessaga, Czesław; Pełczyński, Aleksander
1966
Uncompemented function algebras with separable annihilators. Zbl 0148.11903
Pełczyński, Aleksander
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 0138.38604
Pełczyński, Aleksander
1965
Basic sequences, bi-orthogonal systems and norming sets in Banach and Fréchet spaces. Zbl 0135.34504
1965
An example of a non-shrinking basis. Zbl 0154.14404
Pełczyński, Aleksander; Szlenk, W.
1965
A remark on spaces $$2^ X$$ for zero-dimensional X. Zbl 0137.16103
Pełczyński, Aleksander
1965
A remark on the preceding paper of I. Singer. Zbl 0137.09701
Pełczyński, Aleksander
1965
On non-equivalent bases and conditional bases in Banach spaces. Zbl 0187.05403
Pełczyński, Aleksander; Singer, Ivan
1964
Some problems on bases in Banach and Frechet spaces. Zbl 0203.43203
Pełczyński, A.
1964
A proof of Eberlein-Šmulian theorem by an application of basic sequences. Zbl 0187.05402
Pełczyński, Aleksander
1964
On simultaneous extension of continuous functions. A generalization of theorems of Rudin-Carleson and Bishop. Zbl 0145.16204
Pełczyński, Aleksander
1964
Remarks on dyadic spaces. Zbl 0123.15905
Engelking, Ryszard; Pełczyński, Aleksander
1963
A theorem of Dunford-Petties type for polynomial operators. Zbl 0117.33203
Pełczyński, Aleksander
1963
Sur l’injecion naturelle de l’espace $$(l)$$ dans l’espace $$(l_ p)$$. Zbl 0132.09001
Pełczyński, Aleksander; Szlenk, W.
1963
Bases, lacunary sequences and complemented subspaces in the spaces $$L_ p$$. Zbl 0102.32202
1962
Banach spaces on which every unconditionally converging operator is weakly compact. Zbl 0107.32504
Pełczyński, Aleksander
1962
A note on the paper of I. Singer ’Basic sequences and reflexivity of Banach spaces’. Zbl 0114.30904
Pełczyński, Aleksander
1962
Some remarks on homeomorphisms of $$F$$-spaces. Zbl 0103.32801
Bessaga, Czeslaw; Pełczyński, Aleksander
1962
Remark on non-complemented subspaces of the space $$m(S)$$. Zbl 0107.32603
Pełczyński, Aleksander; Sudakov, V. N.
1962
Beweis eines Satzes von Grothendieck über die Charakterisierung der nuklearen Räume. Zbl 0123.30302
Pełczyński, Aleksander
1962
On diametral approximative dimension and linear homogeneity of $$F$$-spaces. Zbl 0109.33502
Bessaga, Czeslaw; Pełczyński, Aleksander; Rolewicz, Stefan
1961
On the impossibility of embedding of the space $$L$$ in certain Banach spaces. Zbl 0099.09501
Pełczyński, Aleksander
1961
Some remarks on homeomorphism of Banach spaces. Zbl 0102.10001
Bessaga, Czeslaw; Pełczyński, Aleksander
1961
Projections in certain Banach spaces. Zbl 0104.08503
Pełczyński, Aleksander
1960
Spaces of continuous functions. IV: On isomorphical classification of spaces of continuous functions. Zbl 0094.30303
Bessaga, Czeslaw; Pełczyński, Aleksander
1960
Banach spaces non-isomorphic to their cartesian squares. I. Zbl 0091.27801
Bessaga, Czeslaw; Pełczyński, Aleksander
1960
Spaces of continuous functions. III: Spaces $$C(\varOmega)$$ for $$\varOmega$$ without perfect subsets. Zbl 0091.27803
1959
Some properties of the space ($$s$$). Zbl 0090.32702
Bessaga, Czeslaw; Pełczyński, Aleksander; Rolewicz, Stefan
1959
Properties of bases in spaces of type $$B_0$$. Zbl 0097.09203
Bessaga, Czeslaw; Pełczyński, Aleksander
1959
On Mikusiński theorem of bounded moments. Zbl 0177.40201
Pełczyński, Aleksander
1959
On bases and unconditional convergence of series in Banach spaces. Zbl 0084.09805
Bessaga, Czeslaw; Pełczyński, Aleksander
1958
A generalization of results of R. C. James concerning absolute bases in Banach spaces. Zbl 0084.10001
Bessaga, Czeslaw; Pełczyński, Aleksander
1958
On the isomorphism of the spaces $$m$$ and $$M$$. Zbl 0085.09406
Pełczyński, Aleksander
1958
A connection between weakly unconditional convergence and weakly completeness of Banach spaces. Zbl 0082.10804
Pełczyński, Aleksander
1958
Some remarks on conjugate spaces containing subspaces isomorphic to the space $$c_0$$. Zbl 0082.10803
Bessaga, Czeslaw; Pełczyński, Aleksander
1958
On subspaces of a space with an absolute basis. Zbl 0083.10304
Bessaga, Czeslaw; Pełczyński, Aleksander
1958
A property of multilinear operations. Zbl 0080.09701
Pełczyński, Aleksander
1957
On a class of $$B_ 0$$-spaces. Zbl 0077.31002
Bessaga, Czeslaw; Pełczyński, Aleksander
1957
...and 5 more Documents
all top 5

#### Cited by 1,524 Authors

 33 Johnson, William Buhmann 31 Lindenstrauss, Joram 24 González Ortiz, Manuel 23 Astashkin, Sergeĭ Vladimir 22 Kalton, Nigel John 22 Pellegrino, Daniel Marinho 21 Banakh, Taras Onufrievich 21 van Mill, Jan 19 Argyros, Spiros A. 18 Castillo, Jesús M. F. 18 Oja, Eve 18 Rosenthal, Haskell P. 17 Galego, Elói Medina 16 Hájek, Petr 15 Jeribi, Aref 15 Retherford, James R. 15 Tradacete Pérez, Pedro 14 Dobrowolski, Tadeusz 14 Odell, Edward 14 Wojtaszczyk, Przemyslaw 13 Sukochev, Fedor Anatol’evich 12 Dilworth, Stephen J. 12 Gutiérrez, Joaquín M. 12 Schechtman, Gideon 12 Schlumprecht, Thomas 12 Zippin, M. 11 Davis, William Jay 11 Dijkstra, Jan J. 11 Dobrakov, Ivan 11 Ghenciu, Ioana 11 Gordon, Yehoram 11 Pełczyński, Aleksander 11 Tzafriri, Lior 10 Albiac, Fernando 10 Ansorena, José Luis 10 Benyamini, Yoav 10 Casazza, Peter George 10 Causey, Ryan Michael 10 Figiel, Tadeusz 10 Fonf, Vladimir P. 10 Kislyakov, Sergeĭ Vital’evich 10 Koszmider, Piotr B. 10 Lewis, D. R. 10 Moreno, Yolanda 10 Naor, Assaf 10 Sakai, Katsuro 10 Zheng, Bentuo 9 Aizpuru Tomás, Antonio 9 Bonet Solves, José 9 Botelho, Geraldo 9 Diestel, Joseph 9 Laustsen, Niels Jakob 9 Martínez-Abejón, Antonio 9 Pisier, Gilles 9 Semënov, Evgeniĭ Mikhaĭlovich 9 Singer, Ivan 9 Zizler, Vaclav E. 8 Alspach, Dale E. 8 Aviles Lopez, Antonio 8 Bourgain, Jean 8 Cilia, Raffaella 8 Dowling, Patrick N. 8 Godefroy, Gilles 8 Hernández Rodriguez, Francisco L. 8 König, Hermann 8 Lopez-Abad, Jordi 8 Maligranda, Lech 8 Oikhberg, Timur 8 Repovš, Dušan D. 8 Valov, Vesko M. 7 Álvarez Seco, Teresa 7 Cabello Sánchez, Félix 7 Carando, Daniel G. 7 Gasparis, Ioannis 7 Holub, James R. 7 Junge, Marius 7 Kania, Tomasz 7 Lancien, Gilles 7 Latrach, Khalid 7 Lusky, Wolfgang 7 Mujica, Jorge 7 Ostrovskii, Mikhail Iosifovich 7 Pello, Javier 7 Piñeiro, Cándido 7 Rueda, Pilar 7 Seoane-Sepúlveda, Juan Benigno 7 Weis, Lutz W. 6 Bu, Qingying 6 Dodds, Peter G. 6 Dodos, Pandelis 6 Emmanuele, Giovanni 6 John, Kamil 6 Lima, Asvald 6 Maurey, Bernard 6 Motakis, Pavlos 6 Niemiec, Piotr 6 Peralta, Antonio M. 6 Plichko, Anatoliĭ Mykolaĭovych 6 Rodríguez Ruiz, José 6 Sánchez-Pérez, Enrique Alfonso ...and 1,424 more Authors
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#### Cited in 208 Serials

 188 Journal of Mathematical Analysis and Applications 171 Proceedings of the American Mathematical Society 170 Israel Journal of Mathematics 162 Journal of Functional Analysis 110 Topology and its Applications 93 Transactions of the American Mathematical Society 74 Mathematische Annalen 41 Mathematical Notes 40 Archiv der Mathematik 37 Czechoslovak Mathematical Journal 33 Advances in Mathematics 31 Mathematische Zeitschrift 31 Bulletin of the American Mathematical Society 29 Compositio Mathematica 24 Rocky Mountain Journal of Mathematics 22 Siberian Mathematical Journal 20 Journal of Approximation Theory 20 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 18 Positivity 17 Integral Equations and Operator Theory 17 Indagationes Mathematicae. New Series 16 Arkiv för Matematik 16 Linear Algebra and its Applications 15 Annales de l’Institut Fourier 14 Functional Analysis and its Applications 14 Mathematische Nachrichten 13 Acta Mathematica 13 Quaestiones Mathematicae 12 Manuscripta Mathematica 11 Journal of Mathematical Sciences (New York) 10 Monatshefte für Mathematik 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Bulletin de la Société Mathématique de France. Supplément. Mémoires 9 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Bulletin of the Australian Mathematical Society 8 Results in Mathematics 8 Acta Mathematica Sinica. English Series 7 Studia Mathematica 7 Duke Mathematical Journal 7 Publications of the Research Institute for Mathematical Sciences, Kyoto University 7 Acta Mathematica Hungarica 7 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 7 St. Petersburg Mathematical Journal 7 Central European Journal of Mathematics 7 Banach Journal of Mathematical Analysis 6 Ukrainian Mathematical Journal 6 Bulletin of the London Mathematical Society 6 Illinois Journal of Mathematics 6 Journal of Soviet Mathematics 6 Memoirs of the American Mathematical Society 6 Aequationes Mathematicae 6 Bulletin of the American Mathematical Society. New Series 6 Bulletin des Sciences Mathématiques 6 The Journal of Fourier Analysis and Applications 6 Mediterranean Journal of Mathematics 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Commentationes Mathematicae Universitatis Carolinae 5 Functiones et Approximatio. Commentarii Mathematici 5 Mathematica Slovaca 5 Mathematika 5 Constructive Approximation 5 Journal of the American Mathematical Society 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 4 Acta Applicandae Mathematicae 4 Discrete & Computational Geometry 4 Abstract and Applied Analysis 4 Revista Matemática Complutense 4 Nonlinear Analysis. Theory, Methods & Applications 3 Journal d’Analyse Mathématique 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Inventiones Mathematicae 3 Pacific Journal of Mathematics 3 Journal of Complexity 3 The Journal of Geometric Analysis 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Journal of Inequalities and Applications 3 Journal of Function Spaces 3 Open Mathematics 2 American Mathematical Monthly 2 Analysis Mathematica 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 Fuzzy Sets and Systems 2 Glasgow Mathematical Journal 2 Journal of Differential Equations 2 Journal of Economic Theory 2 Journal of the Mathematical Society of Japan 2 Mathematica Scandinavica 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Rendiconti del Seminario Matemàtico e Fisico di Milano 2 Semigroup Forum 2 European Journal of Combinatorics 2 Advances in Applied Mathematics 2 Annals of Pure and Applied Logic 2 Order 2 Probability Theory and Related Fields ...and 108 more Serials
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#### Cited in 53 Fields

 1,350 Functional analysis (46-XX) 546 Operator theory (47-XX) 246 General topology (54-XX) 91 Manifolds and cell complexes (57-XX) 74 Measure and integration (28-XX) 72 Convex and discrete geometry (52-XX) 58 Harmonic analysis on Euclidean spaces (42-XX) 49 Mathematical logic and foundations (03-XX) 47 Probability theory and stochastic processes (60-XX) 46 Topological groups, Lie groups (22-XX) 46 Approximations and expansions (41-XX) 39 Abstract harmonic analysis (43-XX) 34 Real functions (26-XX) 33 Global analysis, analysis on manifolds (58-XX) 28 Functions of a complex variable (30-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 20 Partial differential equations (35-XX) 20 Sequences, series, summability (40-XX) 18 Order, lattices, ordered algebraic structures (06-XX) 18 Several complex variables and analytic spaces (32-XX) 15 Combinatorics (05-XX) 15 Ordinary differential equations (34-XX) 15 Algebraic topology (55-XX) 12 Difference and functional equations (39-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 10 Category theory; homological algebra (18-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Numerical analysis (65-XX) 7 Group theory and generalizations (20-XX) 7 Differential geometry (53-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 History and biography (01-XX) 6 Computer science (68-XX) 6 Quantum theory (81-XX) 5 Nonassociative rings and algebras (17-XX) 5 Statistics (62-XX) 5 Operations research, mathematical programming (90-XX) 4 General and overarching topics; collections (00-XX) 4 Number theory (11-XX) 4 Associative rings and algebras (16-XX) 4 Information and communication theory, circuits (94-XX) 3 Potential theory (31-XX) 3 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 3 Integral equations (45-XX) 3 Geometry (51-XX) 3 Systems theory; control (93-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 Fluid mechanics (76-XX)

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