Aleksander Pełczyński | Academic Influence

Aleksander Pełczyński's AcademicInfluence.com Rankings

Aleksander Pełczyński

Mathematics

#1678

World Rank

#2697

Historical Rank

Measure Theory

#1254

World Rank

#1590

Historical Rank

mathematics Degrees

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Mathematics

Aleksander Pełczyński's Degrees

PhD Mathematics University of Warsaw

Why Is Aleksander Pełczyński Influential?

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According to Wikipedia, Aleksander "Olek" Pełczyński was a Polish mathematician who worked in functional analysis. Career Pełczyński studied mathematics from 1950 to 1956 at the University of Warsaw and received there his doctorate in 1958 under Stanisław Mazur with dissertation Własności izomorficzne przestrzeni Banacha związane ze słabą zbieżnością bezwarunkową szeregów . From 1967 to 2002 he worked at the Polish Academy of Sciences.

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Aleksander Pełczyński's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Absolutely summing operators in Lp spaces and their applications (1968) (717)
On bases and unconditional convergence of series in Banach spaces (1958) (494)
Selected topics in infinite-dimensional topology (1975) (464)
Projections in certain Banach spaces (1960) (456)
Factoring weakly compact operators (1974) (421)
Bases, lacunary sequences and complemented subspaces in the spaces $L_{p}$ (1962) (324)
Linear extensions, linear averagings, and their applications to linear topological classification of spaces of continuous functions (1968) (226)
Contributions to the theory of the classical Banach spaces (1971) (158)
Spaces of continuous functions (III) (Spaces C(Ω) for Ω without perfect subsets) (1959) (158)
On Banach spaces containing L1 (1968) (147)
The main triangle projection in matrix spaces and its applications (1970) (142)
Spaces of continuous functions (IV). (On isomorphical classification of spaces of continuous functions). (1960) (137)
Banach Spaces of Analytic Functions and Absolutely Summing Operators (1977) (123)
Any separable Banach space with the bounded approximation property is a complemented subspace of a Banach space with a basic (1971) (110)
A property of multilinear operations (1957) (79)
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 L² (1975) (79)
Localization techniques in $L^{p}$ spaces (1975) (69)
On non-equivalent bases and conditional bases in Banach spaces (1964) (63)
Molecular decompositions and embedding theorems for vector-valued Sobolev spaces with gradient norm (1993) (61)
Separable Banach spaces which admitln∞ approximations (1966) (57)
On C(S)-subspaces of separable Banach spaces (1968) (57)
A note on the paper of I. Singer "Basic sequences and reflexivity of Banach spaces" (1962) (52)
Estimated extension theorem, homogeneous collections and skeletons and their applications to topological classification of linear metric spaces and convex sets (1970) (52)
On Banach spaces X for which $Π_{2}(ℒ_{∞},X)=B(ℒ_{∞},X)$ (1972) (51)
A generalization of results of R.C. James concerning absolute basis in Banach spaces (1958) (51)
Banach spaces with finite dimensional expansions of identity and universal bases of finite dimensional subspaces (1971) (50)
A characterization of Hilbert-Schmidt operators (1967) (50)
On parallelepipeds of minimal volume containing a convex symmetric body in ℝn (1991) (49)
All separable Banach space admit for every ε>0 fundamental total and bounded by 1 + ε biorthogonal sequences (1976) (47)
Some approximation properties of Banach spaces and Banach lattices (2011) (47)
Kernels of surjections from ${\cal L}_1$-spaces with an application to Sidon sets (1996) (46)
On extreme points in separable conjugate spaces (1966) (45)
Remarks on dyadic spaces (1963) (38)
Absolutely summing operators and translation invariant spaces of functions on compact abelian groups (1980) (38)
Theorems of Hardy and Paley for vector-valued analytic functions and related classes of Banach spaces (1991) (37)
On the impossibility of embedding of the space L in certain Banach spaces (1961) (34)
A linear extension theorem (1967) (31)
Computing norms and critical exponents of some operators in $L^{p}$-spaces (1984) (30)
On isomorphisms of anisotropic Sobolev spaces with "classical Banach spaces" and a Sobolev type embedding theorem (1986) (28)
Some problems on bases in Banach and frechet spaces (1964) (27)
Some properties of the space (s) (1959) (27)
Remark on non-complemented subspaces of the space m(S) (1962) (25)
Polydisc slicing in $ℂ^n$ (2000) (21)
On spaces of measurable functions (1972) (21)
p-integral operators commuting with group representations and examples of quasi-p-integral operators which are not p-integral (1969) (20)
On simultaneous extension of continuous functions (A generalization of theorems of Rudin-Carleson and Bishop) (1964) (18)
Subspaces of Lp Isometric to Subspaces of ℓp (1998) (18)
Commensurate sequences of characters (1988) (15)
Some linear topological properties of the hardy spaces $\mathbf {H}^p$ (1976) (15)
Peaked partition subspaces of $C(X)$ (1967) (14)
Spaces of functions with bounded variation and Sobolev spaces without local unconditional structure (2003) (14)
Canonical Sobolev projections of weak type (1,1) (2001) (13)
BV has the bounded approximation property (2005) (13)
Remarks on John's theorem on the ellipsoid of maximal volume inscribed into a convex symmetric body in R n (1990) (12)
Some linear topological properties of separable function algebras (1967) (12)
ON SOME PROBLEMS OF BANACH (1973) (12)
The existence in every separable Banach space of a fundamental total and bounded biorthogonal sequence and related constructions of uniformly bounded orthonormal systems in $L^2$ (1974) (12)
Some properties of the norm in F-spaces (1957) (11)
On banach space properties of uniform algebras (1976) (10)
Some remarks on Toeplitz multipliers and Hankel matrices (2006) (9)
Paley Projections on Anisotropic Sobolev Spaces on Tori (1992) (8)
Approximative dimension of linear topological spaces and some of its applications (1963) (8)
On the length of faithful nuclear representations of finite rank operators (1988) (6)
Remarks on absolutely summing translation invariant operators from the disc algebra and its dual into a Hilbert space. (1978) (6)
Uncomplemented function algebras with separable annihilators (1966) (6)
The Space of Lebesgue Measurable Functions on the Interval $[0,1]$ is Homeomorphic to the Countable Infinite Product of Lines. (1970) (6)
Sobolev spaces in several variables inL1-type norms are not isomorphic to Banach lattices (2002) (5)
A criterion for compositions of (p,q)-absolutely summing operators to be compact (1976) (5)
ON ENFLO'S METHOD OF CONSTRUCTING BANACH SPACES WITHOUT THE APPROXIMATION PROPERTY (1974) (5)
Methods in Banach Space Theory: Selected problems on the structure of complemented subspaces of Banach spaces (2006) (4)
An analogue in commutative harmonic analysis of the uniform bounded approximation property of Banach space (1978) (4)
On unconditional bases and rademacher averages (1975) (4)
Chapter 32 - Sobolev Spaces* (2003) (4)
A remark on the preceding paper of I. Singer (From a letter to R. Sikorski) (1965) (4)
Supplement to my paper "On simultaneous extension of continuous functions" (1964) (3)
Absolutely summing surjections from Sobolev spaces in the uniform norm (1992) (2)
Addendum to the paper "On isomorphisms of anisotropic Sobolev spaces with "classical Banach spaces" and a Sobolev type embedding theorem" (1986) (2)
BASES OF RANDOM UNCONDITIONAL CONVERGENCE IN BANACH SPACES (2016) (1)
Orlicz centenary : proceedings of the conferences The Władysław Orlicz Centenary Conference and Function Spaces VII, Poznań, 20-25, July 2003 (2004) (1)
Contribution to the isomorphic classification of Sobolev spaces L(k)p(Ω)(1≤p<∞)* (2001) (1)
Absolutely Summing Operators from the Disc Algebra (1977) (1)
Remarks on the existence of the Riemann-Stieltjes integral (1957) (1)
Bases and the Approximation Property in Some Spaces of Analytic Functions (1977) (1)
The Polydisc Algebra and the -Ball Algebra, and Their Duals (1977) (0)
Sobolev Spaces**Partially supported by the KBN Grant 2 P03A 03614. (2003) (0)
ON BOUNDED APPROXIMATION PROPERTIES OF BANACH SPACES (2010) (0)
On Almost Diffeomorphic Banach Spaces (1968) (0)
Analysis in functional spaces (1984) (0)
Application to Uniform Algebras (1977) (0)
Analysis at Urbana: Boundededness of the canonical projection for Sobolev spaces generated by finite families of linear differential operators (1989) (0)
The F. and M. Riesz Theorem and Duals of the Disc Algebra (1977) (0)
Complementation of Finite Dimensional Subspaces in , ¹/₀¹ and ^{∞} (1977) (0)
Weakly Compact Operators from , ¹/₀¹ and * and Complemented Subspaces of These Spaces (1977) (0)
Characterizations of Weakly Compact Sets in ¹/₀¹ and in * (1977) (0)
Absolutely Summing Operators from the Disc Algebra into Hilbert Space (1977) (0)
On a result of Olevskiǐ : a uniformly bounded orthonormal sequence is not a basis for $C[0,1]$ (1974) (0)
Non isomorphism of the disc algebra with spaces of differentiable functions (1992) (0)
The Nonexistence of Local Unconditional Structure for the Disc Algebra and for its Duals (1977) (0)
Thirty-One Invited Addresses (Eight in Abstract) at the International Congress of Mathematicians in Moscow, 1966 (1968) (0)
PEM volume 37 issue 3 Cover and Back matter (1994) (0)
"On geometry and topology"; Wiadom. Mat. 15, Pp.17-24; 1972 (1972) (0)
UNCONDITIONAL AND SHRINKING BASES IN LOCALLY CONVEX SPACES (2004) (0)
Uniformly Peaking Families of Functions in and ^{∞}. The Havin Lemma (1977) (0)
On the non-existence of linear isomorphisms between Banach spaces of analytic functions of one and several complex variables (1976) (0)
Commutative harmonic analysis and Banach spaces (1979) (0)
On Sikorski’s trace formula (1970) (0)
1.1. Absolutely summing operators from the disc algebra (1984) (0)

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What Schools Are Affiliated With Aleksander Pełczyński?

Aleksander Pełczyński is affiliated with the following schools:

University of Warsaw