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Pełczyński, Aleksander

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Author ID: pelczynski.aleksander Recent zbMATH articles by "Pełczyński, Aleksander"
Published as: Pełczyński, Aleksander; Pełczyński, A.; Pelczynski, A.; Pelczyński, Aleksander; Pełczynski, Aleksander; Pełczynski, A.; Pelczyński, A.; Pelczynski, Aleksander
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
1,445 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 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
1 Tzafriri, Lior
...and 8 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

Publications by Year

Citations contained in zbMATH Open

110 Publications have been cited 2,701 times in 1,997 Documents Cited by Year
Absolutely summing operators in \(L_{p}\)-spaces and their applications. Zbl 0183.40501
Lindenstrauss, Joram; Pełczyński, Aleksander
270
1968
Selected topics in infinite-dimensional topology. Zbl 0304.57001
Bessaga, Czeslaw; Pełczyński, Aleksander
219
1975
On bases and unconditional convergence of series in Banach spaces. Zbl 0084.09805
Bessaga, Czeslaw; Pełczyński, Aleksander
219
1958
Factoring weakly compact operators. Zbl 0306.46020
Davis, W. J.; Figiel, T.; Johnson, W. B.; Pełczyński, Aleksander
192
1974
Projections in certain Banach spaces. Zbl 0104.08503
Pełczyński, Aleksander
188
1960
Bases, lacunary sequences and complemented subspaces in the spaces \(L_ p\). Zbl 0102.32202
Kadets, M. I.; Pełczyński, Aleksander
93
1962
Banach spaces on which every unconditionally converging operator is weakly compact. Zbl 0107.32504
Pełczyński, Aleksander
83
1962
Spaces of continuous functions. III: Spaces \(C(\varOmega)\) for \(\varOmega\) without perfect subsets. Zbl 0091.27803
Pełczyński, A.; Semadeni, Zbigniew
80
1959
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
78
1965
Spaces of continuous functions. IV: On isomorphical classification of spaces of continuous functions. Zbl 0094.30303
Bessaga, Czeslaw; Pełczyński, Aleksander
75
1960
The main triangle projection in matrix spaces and its applications. Zbl 0189.43505
Kwapien, S.; Pełczyński, Aleksander
68
1970
Linear extensions, linear averagings, and their applications to linear topological classification of spaces of continuous functions. Zbl 0165.14603
Pełczyński, Aleksander
62
1968
Contributions to the theory of the classical Banach spaces. Zbl 0224.46041
Lindenstrauss, J.; Pełczyński, A.
57
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
42
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.
40
1971
Localization techniques in L\(^p\) spaces. Zbl 0297.46023
Pełczyński, Aleksander; Rosenthal, H. P.
39
1975
On Banach spaces containing \(L_ 1 (\mu)\). Zbl 0159.18102
Pełczynski, Aleksander
36
1968
Theory of linear operations. Transl. from the French by F. Jellett. Zbl 0613.46001
Banach, S.
35
1987
On \(C(S)\)-subspaces of separable Banach spaces. Zbl 0169.15402
Pełczyński, Aleksander
31
1968
On diametral approximative dimension and linear homogeneity of \(F\)-spaces. Zbl 0109.33502
Bessaga, Czeslaw; Pełczyński, Aleksander; Rolewicz, Stefan
30
1961
Separable Banach spaces which admit \(I^ \infty_ n\) approximations. Zbl 0151.17602
Michael, Ernest; Pełczyński, Aleksander
30
1966
Universal bases. Zbl 0185.37401
Pełczyński, Aleksander
30
1969
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.
28
1972
On extreme points in separable conjugate spaces. Zbl 0145.16102
Bessaga, Czesław; Pełczyński, Aleksander
26
1966
On non-equivalent bases and conditional bases in Banach spaces. Zbl 0187.05403
Pełczyński, Aleksander; Singer, Ivan
26
1964
Some approximation properties of Banach spaces and Banach lattices. Zbl 1235.46027
Figiel, Tadeusz; Johnson, William B.; Pełczyński, Aleksander
23
2011
A generalization of results of R. C. James concerning absolute bases in Banach spaces. Zbl 0084.10001
Bessaga, Czeslaw; Pełczyński, Aleksander
21
1958
A note on the paper of I. Singer ’Basic sequences and reflexivity of Banach spaces’. Zbl 0114.30904
Pełczyński, Aleksander
21
1962
Kernels of surjections from \({\mathcal L}_1\)-spaces with an application to Sidon sets. Zbl 0901.46008
Kalton, N. J.; Pełczyński, A.
21
1997
On the isomorphism of the spaces \(m\) and \(M\). Zbl 0085.09406
Pełczyński, Aleksander
20
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
20
1970
Some problems on bases in Banach and Frechet spaces. Zbl 0203.43203
Pełczyński, A.
16
1964
Banach spaces with finite dimensional expansions of identity and universal bases of finite dimensional subspaces. Zbl 0221.46014
Pełczyński, A.; Wojtaszczyk, P.
16
1971
All separable Banach spaces admit for every \(\varepsilon >0\) fundamental total and bounded by \(1+\varepsilon\) biorthogonal sequences. Zbl 0336.46023
Pełczyński, Aleksander
15
1976
On parallelepipeds of minimal volume containing a convex symmetric body in \({\mathbb{R}}^ n\). Zbl 0718.52007
Pelczynski, A.; Szarek, S. J.
15
1991
A property of multilinear operations. Zbl 0080.09701
Pełczyński, Aleksander
15
1957
Polydisc slicing in \(\mathbb{C}^n\). Zbl 0971.32018
Oleszkiewicz, Krzysztof; Pełczyński, Aleksander
14
2000
A linear extension theorem. Zbl 0171.10901
Michael, Ernest; Pełczyński, Aleksander
14
1967
Some remarks on conjugate spaces containing subspaces isomorphic to the space \(c_0\). Zbl 0082.10803
Bessaga, Czeslaw; Pełczyński, Aleksander
13
1958
A connection between weakly unconditional convergence and weakly completeness of Banach spaces. Zbl 0082.10804
Pełczyński, Aleksander
13
1958
Remarks on dyadic spaces. Zbl 0123.15905
Engelking, Ryszard; Pełczyński, Aleksander
13
1963
A characterization of Hilbert-Schmidt operators. Zbl 0156.38001
Pełczyński, Aleksander
13
1967
Theorems of Hardy and Paley for vector-valued analytic functions and related classes of Banach spaces. Zbl 0744.46039
Blasco, O.; Pelczynski, A.
12
1991
Banach spaces of analytic functions and absolutely summing operators. Reprint. Zbl 0475.46022
Pełczyński, Aleksander
11
1980
Some remarks on homeomorphisms of \(F\)-spaces. Zbl 0103.32801
Bessaga, Czeslaw; Pełczyński, Aleksander
11
1962
Remark on non-complemented subspaces of the space \(m(S)\). Zbl 0107.32603
Pełczyński, Aleksander; Sudakov, V. N.
11
1962
Molecular decompositions and embedding theorems for vector-valued Sobolev spaces with gradient norm. Zbl 0811.46028
Pełczyński, A.; Wojciechowski, M.
11
1993
Some properties of the space (\(s\)). Zbl 0090.32702
Bessaga, Czeslaw; Pełczyński, Aleksander; Rolewicz, Stefan
10
1959
On the impossibility of embedding of the space \(L\) in certain Banach spaces. Zbl 0099.09501
Pełczyński, Aleksander
10
1961
Basic sequences, bi-orthogonal systems and norming sets in Banach and Fréchet spaces. Zbl 0135.34504
Kadets, M. I.; Pełczyński, Aleksander
10
1965
Absolutely summing operators and translation invariant spaces of functions on compact abelian groups. Zbl 0435.43002
Kwapien, S.; Pełczyński, Aleksander
9
1980
On a class of \(B_ 0\)-spaces. Zbl 0077.31002
Bessaga, Czeslaw; Pełczyński, Aleksander
9
1957
Subspaces of \(L_p\) isometric to subspaces of \(\ell_p\). Zbl 0934.46008
Delbaen, F.; Jarchow, H.; Pełczyński, A.
9
1998
Some linear topological properties of separable function algebras. Zbl 0168.11201
Pełczyński, Aleksander
8
1967
Sharp estimates for the constants of local unconditional structure of Minkowski spaces. Zbl 0379.46012
Figiel, Tadeusz; Kwapien, Stanislaw; Pełczyński, Aleksander
7
1978
Banach spaces non-isomorphic to their cartesian squares. I. Zbl 0091.27801
Bessaga, Czeslaw; Pełczyński, Aleksander
7
1960
Properties of bases in spaces of type \(B_0\). Zbl 0097.09203
Bessaga, Czeslaw; Pełczyński, Aleksander
7
1959
Some remarks on homeomorphism of Banach spaces. Zbl 0102.10001
Bessaga, Czeslaw; Pełczyński, Aleksander
7
1961
A theorem of Dunford-Petties type for polynomial operators. Zbl 0117.33203
Pełczyński, Aleksander
7
1963
On simultaneous extension of continuous functions. A generalization of theorems of Rudin-Carleson and Bishop. Zbl 0145.16204
Pełczyński, Aleksander
7
1964
An example of a non-shrinking basis. Zbl 0154.14404
Pełczyński, Aleksander; Szlenk, W.
7
1965
A proof of Eberlein-Šmulian theorem by an application of basic sequences. Zbl 0187.05402
Pełczyński, Aleksander
7
1964
Durham symposium on the relations between infinite-dimensional and finite-dimensional convexity. Zbl 0323.52001
6
1976
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
6
1977
Spaces of functions with bounded variation and Sobolev spaces without local unconditional structure. Zbl 1032.46029
Pełczyński, Aleksander; Wojciechowski, Michał
6
2003
On the approximation of S-spaces by finite dimensional spaces. Zbl 0078.28703
Pełczyński, Aleksander
6
1957
Some properties of the norm in F-spaces. Zbl 0080.31301
Bessaga, Czeslaw; Pełczyński, Aleksander; Rolewicz, Stefan
6
1957
Commensurate sequences of characters. Zbl 0693.46044
Pełczyński, A.
6
1988
p-integral operators commuting with group representations and examples of quasi-p-integral operators which are not p-integral. Zbl 0189.43701
Pełczyński, Aleksander
6
1969
On spaces of measurable functions. Zbl 0256.46048
Bessaga, Czeslaw; Pełczyński, Aleksander
6
1972
On isomorphisms of anisotropic Sobolev spaces with “classical Banach spaces” and a Sobolev type embedding theorem. Zbl 0628.46027
Pełczyński, A.; Senator, K.
5
1986
Biorthogonal systems of random unconditional convergence in Banach spaces. Zbl 0749.46011
Billard, P.; Kwapień, S.; Pełczyński, A.; Samuel, Ch.
5
1986
Computing norms and critical exponents of some operators in \(L^ p\)- spaces. Zbl 0599.46035
Figiel, T.; Iwaniec, T.; Pełczyński, A.
5
1984
On B-spaces containing subspaces isomorphic to the space c. Zbl 0078.10403
Pełczyński, Aleksander
5
1957
On subspaces of a space with an absolute basis. Zbl 0083.10304
Bessaga, Czeslaw; Pełczyński, Aleksander
5
1958
Peaked partition subspaces of \(C(X)\). Zbl 0171.10805
Michael, Ernest; Pełczyński, Aleksander
5
1967
A topological proof that every separable Banach space is homeomorphic to a countable product of lines. Zbl 0181.40001
Bessaga, Czeslaw; Pełczyński, Aleksander
5
1969
Nuclear operators and approximative dimension. Zbl 0191.41704
Mityagin, B. S.; Pelczyński, Aleksander
5
1968
Sobolev spaces. Zbl 1044.46031
Pełczyński, Aleksander; Wojciechowski, Michał
5
2003
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
4
1978
A generalisation of Stone’s theorem on approximation. Zbl 0078.10404
Pełczyński, Aleksander
4
1957
A remark on spaces \(2^ X\) for zero-dimensional X. Zbl 0137.16103
Pełczyński, Aleksander
4
1965
Uncompemented function algebras with separable annihilators. Zbl 0148.11903
Pełczyński, Aleksander
4
1966
Sur certaines propriétés isomorphiques nouvelles des espaces de Banach de fonctions holomorphes A et H\(^\infty\). Zbl 0285.46020
Pełczyński, Aleksander
4
1974
BV has the bounded approximation property. Zbl 1091.46011
Alberti, G.; Csörnyei, M.; Pełczyński, A.; Preiss, D.
4
2005
Some remarks on Toeplitz multipliers and Hankel matrices. Zbl 1105.47025
Pełczyński, Aleksander; Sukochev, Fyodor
4
2006
Norms of classical operators in function spaces. Zbl 0582.47033
Pełczynski, A.
3
1985
Sobolev spaces in several variables in \(L^1\)-type norms are not isomorphic to Banach lattices. Zbl 1021.46026
Pełczyński, Aleksander; Wojciechowski, Michał
3
2002
An extension of the Krein-Milman-Rutman theorem concerning bases to the case of \(B_ 0\)-spaces. Zbl 0077.31003
Bessaga, Czeslaw; Pełczyński, Aleksander
3
1957
Sur l’injecion naturelle de l’espace \((l)\) dans l’espace \((l_ p)\). Zbl 0132.09001
Pełczyński, 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 0215.19804
Bessaga, Czeslaw; Pełczyński, A.
3
1970
Geometry of finite dimensional Banach spaces and operator ideals. Zbl 0461.46014
Pełczyński, Aleksander
3
1980
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
3
1990
A criterion for compositions of (p,q) -absolutely summing operators to be compact. Zbl 0321.47016
Maurey, B.; Pełczyński, Aleksander
2
1976
Some linear topological properties of the Hardy spaces \(H^p\). Zbl 0342.46015
Kwapien, S.; Pełczyński, Aleksander
2
1976
Œuvres. Vol. II: Travaux sur l’analyse fonctionnelle. Avec l’article de A. Pelczynski sur la presente théorie des espaces de Banach. Zbl 0407.01009
Banach, Stefan
2
1979
über einige Probleme von Banach. Zbl 0281.46014
Pełczyński, Aleksander
2
1973
Selected problems on the structure of complemented subspaces of Banach spaces. Zbl 1130.46003
Pelczyński, Aleksander
2
2006
On the length of faithful nuclear representations of finite rank operators. Zbl 0654.47007
Pełczynski, A.; Tomczak-Jaegermann, Nicole
1
1988
On a result of Olevskii: a uniformly bounded orthonormal sequence is not a basis for C\([0,1]\). Zbl 0298.46024
Pełczyński, Aleksander
1
1974
A tribute to Nigel J. Kalton (1946–2010). Zbl 1284.01055
Pelczyński, Aleksander; Diestel, Joe; Vershynin, Roman; Godefroy, Gilles
1
2012
Some approximation properties of Banach spaces and Banach lattices. Zbl 1235.46027
Figiel, Tadeusz; Johnson, William B.; Pełczyński, Aleksander
23
2011
Some remarks on Toeplitz multipliers and Hankel matrices. Zbl 1105.47025
Pełczyński, Aleksander; Sukochev, Fyodor
4
2006
Selected problems on the structure of complemented subspaces of Banach spaces. Zbl 1130.46003
Pelczyński, Aleksander
2
2006
BV has the bounded approximation property. Zbl 1091.46011
Alberti, G.; Csörnyei, M.; Pełczyński, A.; Preiss, D.
4
2005
Spaces of functions with bounded variation and Sobolev spaces without local unconditional structure. Zbl 1032.46029
Pełczyński, Aleksander; Wojciechowski, Michał
6
2003
Sobolev spaces. Zbl 1044.46031
Pełczyński, Aleksander; Wojciechowski, Michał
5
2003
Sobolev spaces in several variables in \(L^1\)-type norms are not isomorphic to Banach lattices. Zbl 1021.46026
Pełczyński, Aleksander; Wojciechowski, Michał
3
2002
Polydisc slicing in \(\mathbb{C}^n\). Zbl 0971.32018
Oleszkiewicz, Krzysztof; Pełczyński, Aleksander
14
2000
Subspaces of \(L_p\) isometric to subspaces of \(\ell_p\). Zbl 0934.46008
Delbaen, F.; Jarchow, H.; Pełczyński, A.
9
1998
Kernels of surjections from \({\mathcal L}_1\)-spaces with an application to Sidon sets. Zbl 0901.46008
Kalton, N. J.; Pełczyński, A.
21
1997
Molecular decompositions and embedding theorems for vector-valued Sobolev spaces with gradient norm. Zbl 0811.46028
Pełczyński, A.; Wojciechowski, M.
11
1993
Paley projections on anisotropic Sobolev spaces on tori. Zbl 0767.46033
Pelczynski, A.; Wojciechowski, M.
1
1992
On parallelepipeds of minimal volume containing a convex symmetric body in \({\mathbb{R}}^ n\). Zbl 0718.52007
Pelczynski, A.; Szarek, S. J.
15
1991
Theorems of Hardy and Paley for vector-valued analytic functions and related classes of Banach spaces. Zbl 0744.46039
Blasco, O.; Pelczynski, A.
12
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
3
1990
Commensurate sequences of characters. Zbl 0693.46044
Pełczyński, A.
6
1988
On the length of faithful nuclear representations of finite rank operators. Zbl 0654.47007
Pełczynski, A.; Tomczak-Jaegermann, Nicole
1
1988
Theory of linear operations. Transl. from the French by F. Jellett. Zbl 0613.46001
Banach, S.
35
1987
On isomorphisms of anisotropic Sobolev spaces with “classical Banach spaces” and a Sobolev type embedding theorem. Zbl 0628.46027
Pełczyński, A.; Senator, K.
5
1986
Biorthogonal systems of random unconditional convergence in Banach spaces. Zbl 0749.46011
Billard, P.; Kwapień, S.; Pełczyński, A.; Samuel, Ch.
5
1986
Norms of classical operators in function spaces. Zbl 0582.47033
Pełczynski, A.
3
1985
Computing norms and critical exponents of some operators in \(L^ p\)- spaces. Zbl 0599.46035
Figiel, T.; Iwaniec, T.; Pełczyński, A.
5
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.
1
1981
Banach spaces of analytic functions and absolutely summing operators. Reprint. Zbl 0475.46022
Pełczyński, Aleksander
11
1980
Absolutely summing operators and translation invariant spaces of functions on compact abelian groups. Zbl 0435.43002
Kwapien, S.; Pełczyński, Aleksander
9
1980
Geometry of finite dimensional Banach spaces and operator ideals. Zbl 0461.46014
Pełczyński, Aleksander
3
1980
Œuvres. Vol. II: Travaux sur l’analyse fonctionnelle. Avec l’article de A. Pelczynski sur la presente théorie des espaces de Banach. Zbl 0407.01009
Banach, Stefan
2
1979
Sharp estimates for the constants of local unconditional structure of Minkowski spaces. Zbl 0379.46012
Figiel, 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 0391.46041
Kwapien, 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 0384.46015
Pełczyński, Aleksander
6
1977
All separable Banach spaces admit for every \(\varepsilon >0\) fundamental total and bounded by \(1+\varepsilon\) biorthogonal sequences. Zbl 0336.46023
Pełczyński, 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 0321.47016
Maurey, B.; Pełczyński, Aleksander
2
1976
Some linear topological properties of the Hardy spaces \(H^p\). Zbl 0342.46015
Kwapien, S.; Pełczyński, Aleksander
2
1976
Selected topics in infinite-dimensional topology. Zbl 0304.57001
Bessaga, Czeslaw; Pełczyński, Aleksander
219
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
42
1975
Localization techniques in L\(^p\) spaces. Zbl 0297.46023
Pełczyński, Aleksander; Rosenthal, H. P.
39
1975
Factoring weakly compact operators. Zbl 0306.46020
Davis, W. J.; Figiel, T.; Johnson, W. B.; Pełczyński, Aleksander
192
1974
Sur certaines propriétés isomorphiques nouvelles des espaces de Banach de fonctions holomorphes A et H\(^\infty\). Zbl 0285.46020
Pełczyński, Aleksander
4
1974
On a result of Olevskii: a uniformly bounded orthonormal sequence is not a basis for C\([0,1]\). Zbl 0298.46024
Pełczyński, 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 0302.46008
Ovsepian, R. I.; Pełczyński, Aleksander
1
1974
über einige Probleme von Banach. Zbl 0281.46014
Pełczyński, Aleksander
2
1973
On Enflo’s method of construction of Banach spaces without the approximation property. Zbl 0305.46027
Pełczyński, Aleksander; Figiel, T.
1
1973
On some problems of Banach. Zbl 0288.46016
Pełczyński, Aleksander
1
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.
28
1972
On spaces of measurable functions. Zbl 0256.46048
Bessaga, Czeslaw; Pełczyński, Aleksander
6
1972
Contributions to the theory of the classical Banach spaces. Zbl 0224.46041
Lindenstrauss, J.; Pełczyński, A.
57
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.
40
1971
Banach spaces with finite dimensional expansions of identity and universal bases of finite dimensional subspaces. Zbl 0221.46014
Pełczyński, A.; Wojtaszczyk, P.
16
1971
The main triangle projection in matrix spaces and its applications. Zbl 0189.43505
Kwapien, S.; Pełczyński, Aleksander
68
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
20
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.
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 0199.18701
Pełczyński, Aleksander
1
1970
Universal bases. Zbl 0185.37401
Pełczyński, Aleksander
30
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
6
1969
A topological proof that every separable Banach space is homeomorphic to a countable product of lines. Zbl 0181.40001
Bessaga, Czeslaw; Pełczyński, Aleksander
5
1969
Absolutely summing operators in \(L_{p}\)-spaces and their applications. Zbl 0183.40501
Lindenstrauss, Joram; Pełczyński, Aleksander
270
1968
Linear extensions, linear averagings, and their applications to linear topological classification of spaces of continuous functions. Zbl 0165.14603
Pełczyński, Aleksander
62
1968
On Banach spaces containing \(L_ 1 (\mu)\). Zbl 0159.18102
Pełczynski, Aleksander
36
1968
On \(C(S)\)-subspaces of separable Banach spaces. Zbl 0169.15402
Pełczyński, Aleksander
31
1968
Nuclear operators and approximative dimension. Zbl 0191.41704
Mityagin, B. S.; Pelczyński, Aleksander
5
1968
A linear extension theorem. Zbl 0171.10901
Michael, Ernest; Pełczyński, Aleksander
14
1967
A characterization of Hilbert-Schmidt operators. Zbl 0156.38001
Pełczyński, Aleksander
13
1967
Some linear topological properties of separable function algebras. Zbl 0168.11201
Pełczyński, Aleksander
8
1967
Peaked partition subspaces of \(C(X)\). Zbl 0171.10805
Michael, Ernest; Pełczyński, Aleksander
5
1967
Separable Banach spaces which admit \(I^ \infty_ n\) approximations. Zbl 0151.17602
Michael, Ernest; Pełczyński, Aleksander
30
1966
On extreme points in separable conjugate spaces. Zbl 0145.16102
Bessaga, Czesław; Pełczyński, Aleksander
26
1966
Uncompemented function algebras with separable annihilators. Zbl 0148.11903
Pełczyński, 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 0138.38604
Pełczyński, Aleksander
78
1965
Basic sequences, bi-orthogonal systems and norming sets in Banach and Fréchet spaces. Zbl 0135.34504
Kadets, M. I.; Pełczyński, Aleksander
10
1965
An example of a non-shrinking basis. Zbl 0154.14404
Pełczyński, Aleksander; Szlenk, W.
7
1965
A remark on spaces \(2^ X\) for zero-dimensional X. Zbl 0137.16103
Pełczyński, Aleksander
4
1965
A remark on the preceding paper of I. Singer. Zbl 0137.09701
Pełczyński, Aleksander
1
1965
On non-equivalent bases and conditional bases in Banach spaces. Zbl 0187.05403
Pełczyński, Aleksander; Singer, Ivan
26
1964
Some problems on bases in Banach and Frechet spaces. Zbl 0203.43203
Pełczyński, A.
16
1964
On simultaneous extension of continuous functions. A generalization of theorems of Rudin-Carleson and Bishop. Zbl 0145.16204
Pełczyński, Aleksander
7
1964
A proof of Eberlein-Šmulian theorem by an application of basic sequences. Zbl 0187.05402
Pełczyński, Aleksander
7
1964
Remarks on dyadic spaces. Zbl 0123.15905
Engelking, Ryszard; Pełczyński, Aleksander
13
1963
A theorem of Dunford-Petties type for polynomial operators. Zbl 0117.33203
Pełczyński, Aleksander
7
1963
Sur l’injecion naturelle de l’espace \((l)\) dans l’espace \((l_ p)\). Zbl 0132.09001
Pełczyński, Aleksander; Szlenk, W.
3
1963
Bases, lacunary sequences and complemented subspaces in the spaces \(L_ p\). Zbl 0102.32202
Kadets, M. I.; Pełczyński, Aleksander
93
1962
Banach spaces on which every unconditionally converging operator is weakly compact. Zbl 0107.32504
Pełczyński, Aleksander
83
1962
A note on the paper of I. Singer ’Basic sequences and reflexivity of Banach spaces’. Zbl 0114.30904
Pełczyński, Aleksander
21
1962
Some remarks on homeomorphisms of \(F\)-spaces. Zbl 0103.32801
Bessaga, Czeslaw; Pełczyński, Aleksander
11
1962
Remark on non-complemented subspaces of the space \(m(S)\). Zbl 0107.32603
Pełczyński, Aleksander; Sudakov, V. N.
11
1962
Beweis eines Satzes von Grothendieck über die Charakterisierung der nuklearen Räume. Zbl 0123.30302
Pełczyński, Aleksander
1
1962
On diametral approximative dimension and linear homogeneity of \(F\)-spaces. Zbl 0109.33502
Bessaga, Czeslaw; Pełczyński, Aleksander; Rolewicz, Stefan
30
1961
On the impossibility of embedding of the space \(L\) in certain Banach spaces. Zbl 0099.09501
Pełczyński, Aleksander
10
1961
Some remarks on homeomorphism of Banach spaces. Zbl 0102.10001
Bessaga, Czeslaw; Pełczyński, Aleksander
7
1961
Projections in certain Banach spaces. Zbl 0104.08503
Pełczyński, Aleksander
188
1960
Spaces of continuous functions. IV: On isomorphical classification of spaces of continuous functions. Zbl 0094.30303
Bessaga, Czeslaw; Pełczyński, Aleksander
75
1960
Banach spaces non-isomorphic to their cartesian squares. I. Zbl 0091.27801
Bessaga, Czeslaw; Pełczyński, Aleksander
7
1960
Spaces of continuous functions. III: Spaces \(C(\varOmega)\) for \(\varOmega\) without perfect subsets. Zbl 0091.27803
Pełczyński, A.; Semadeni, Zbigniew
80
1959
Some properties of the space (\(s\)). Zbl 0090.32702
Bessaga, Czeslaw; Pełczyński, Aleksander; Rolewicz, Stefan
10
1959
Properties of bases in spaces of type \(B_0\). Zbl 0097.09203
Bessaga, Czeslaw; Pełczyński, Aleksander
7
1959
On Mikusiński theorem of bounded moments. Zbl 0177.40201
Pełczyński, Aleksander
1
1959
On bases and unconditional convergence of series in Banach spaces. Zbl 0084.09805
Bessaga, Czeslaw; Pełczyński, Aleksander
219
1958
A generalization of results of R. C. James concerning absolute bases in Banach spaces. Zbl 0084.10001
Bessaga, Czeslaw; Pełczyński, Aleksander
21
1958
On the isomorphism of the spaces \(m\) and \(M\). Zbl 0085.09406
Pełczyński, Aleksander
20
1958
...and 10 more Documents
all top 5

Cited by 1,544 Authors

34 Johnson, William Buhmann
31 Lindenstrauss, Joram
25 Astashkin, Sergeĭ Vladimir
25 González Ortiz, Manuel
23 Banakh, Taras Onufrievich
22 Kalton, Nigel John
21 van Mill, Jan
20 Pellegrino, Daniel Marinho
19 Argyros, Spiros A.
19 Castillo, Jesús M. F.
18 Galego, Elói Medina
18 Oja, Eve
17 Hájek, Petr
17 Rosenthal, Haskell P.
16 Jeribi, Aref
15 Retherford, James R.
15 Sukochev, Fedor Anatol’evich
15 Tradacete Pérez, Pedro
15 Wojtaszczyk, Przemyslaw
14 Albiac, Fernando
14 Ansorena, José Luis
13 Dobrowolski, Tadeusz
13 Odell, Edward
13 Schechtman, Gideon
13 Schlumprecht, Thomas
12 Causey, Ryan Michael
12 Dilworth, Stephen J.
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 Casazza, Peter George
10 Dijkstra, Jan J.
10 Figiel, Tadeusz
10 Fonf, Vladimir P.
10 Kislyakov, Sergeĭ Vital’evich
10 Lewis, D. R.
10 Martínez-Abejón, Antonio
10 Moreno, Yolanda
10 Sakai, Katsuro
10 Zheng, Bentuo
9 Aizpuru Tomás, Antonio
9 Aviles Lopez, Antonio
9 Bonet Solves, José
9 Cabello Sánchez, Félix
9 Diestel, Joseph
9 Kania, Tomasz
9 König, Hermann
9 Maligranda, Lech
9 Naor, Assaf
9 Pisier, Gilles
9 Singer, Ivan
9 Zizler, Vaclav E.
8 Alspach, Dale E.
8 Botelho, Geraldo
8 Bourgain, Jean
8 Carando, Daniel G.
8 Cilia, Raffaella
8 Dowling, Patrick N.
8 Godefroy, Gilles
8 Hernández Rodriguez, Francisco L.
8 Lancien, Gilles
8 Lopez-Abad, Jordi
8 Repovš, Dušan D.
8 Semënov, Evgeniĭ Mikhaĭlovich
8 Valov, Vesko M.
7 Álvarez Seco, Teresa
7 Gasparis, Ioannis
7 Holub, James R.
7 Junge, Marius
7 Latrach, Khalid
7 Lewis, Paul W.
7 Lusky, Wolfgang
7 Motakis, Pavlos
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 Weis, Lutz W.
6 Bu, Qingying
6 Chen, Dongyang
6 Defant, Andreas
6 Dodds, Peter G.
6 Dodos, Pandelis
6 Emmanuele, Giovanni
6 Galicer, Daniel
6 John, Kamil
6 Jonard-Pérez, Natalia
6 Lima, Asvald
...and 1,444 more Authors
all top 5

Cited in 220 Serials

187 Journal of Mathematical Analysis and Applications
173 Proceedings of the American Mathematical Society
172 Israel Journal of Mathematics
167 Journal of Functional Analysis
109 Topology and its Applications
95 Transactions of the American Mathematical Society
76 Mathematische Annalen
41 Mathematical Notes
41 Archiv der Mathematik
37 Czechoslovak Mathematical Journal
34 Advances in Mathematics
32 Mathematische Zeitschrift
31 Bulletin of the American Mathematical Society
29 Compositio Mathematica
24 Rocky Mountain Journal of Mathematics
24 Positivity
23 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
22 Siberian Mathematical Journal
21 Journal of Approximation Theory
17 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
13 Acta Mathematica
12 Manuscripta Mathematica
11 Results in Mathematics
11 Journal of Mathematical Sciences (New York)
10 Monatshefte für Mathematik
10 Bulletin de la Société Mathématique de France. Supplément. Mémoires
9 Annali di Matematica Pura ed Applicata. Serie Quarta
9 St. Petersburg Mathematical Journal
9 Mediterranean Journal of Mathematics
9 Banach Journal of Mathematical Analysis
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 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 Bulletin of the American Mathematical Society. New Series
7 Bulletin des Sciences Mathématiques
7 Central European Journal of Mathematics
6 Mathematical Proceedings of the Cambridge Philosophical Society
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 The Journal of Fourier Analysis and Applications
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 The Journal of Geometric Analysis
5 Journal of Convex Analysis
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
4 Advances in Operator Theory
3 Journal d’Analyse Mathématique
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 Journal of Inequalities and Applications
3 Journal of Function Spaces
3 Open Mathematics
2 American Mathematical Monthly
2 Analysis Mathematica
2 Linear and Multilinear Algebra
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 The Annals of Probability
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
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
2 Journal of Economic Theory
2 Journal of the Mathematical Society of Japan
2 Mathematica Scandinavica
2 Numerical Functional Analysis and Optimization
...and 120 more Serials
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Cited in 54 Fields

1,414 Functional analysis (46-XX)
567 Operator theory (47-XX)
250 General topology (54-XX)
91 Manifolds and cell complexes (57-XX)
80 Convex and discrete geometry (52-XX)
76 Measure and integration (28-XX)
62 Harmonic analysis on Euclidean spaces (42-XX)
55 Mathematical logic and foundations (03-XX)
48 Topological groups, Lie groups (22-XX)
48 Probability theory and stochastic processes (60-XX)
47 Approximations and expansions (41-XX)
41 Abstract harmonic analysis (43-XX)
34 Real functions (26-XX)
33 Global analysis, analysis on manifolds (58-XX)
32 Functions of a complex variable (30-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)
15 Ordinary differential equations (34-XX)
15 Algebraic topology (55-XX)
13 Calculus of variations and optimal control; optimization (49-XX)
12 Difference and functional equations (39-XX)
11 Dynamical systems and ergodic theory (37-XX)
10 Category theory; homological algebra (18-XX)
9 Statistical mechanics, structure of matter (82-XX)
8 General and overarching topics; collections (00-XX)
8 Numerical analysis (65-XX)
8 Computer science (68-XX)
7 History and biography (01-XX)
7 Group theory and generalizations (20-XX)
6 Geometry (51-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 Differential geometry (53-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 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)
1 Fluid mechanics (76-XX)

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