Factoring weakly compact operators
William J. Davis,William J. Davis,Tadek Figiel,Tadek Figiel,William B. Johnson,William B. Johnson,A Pelczynski,A Pelczynski +7 more
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TLDR
The main result of as mentioned in this paper is that every weakly compact operator between Banach spaces factors through a reflexive Banach space, i.e., it is a Banach-Saks property.About:
This article is published in Journal of Functional Analysis.The article was published on 1974-11-01 and is currently open access. It has received 431 citations till now. The article focuses on the topics: Reflexive space & Tsirelson space.read more
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Positive Operators
TL;DR: Book of positive operators, as an amazing reference becomes what you need to get, and book, as a source that may involve the facts, opinion, literature, religion, and many others are the great friends to join with.
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The Radon-Nikodym property in conjugate Banach spaces
TL;DR: In this paper, the authors characterize conjugate Banach spaces X* having the Radon-Nikodym Property (RNP) as those spaces such that any separable subspace of X has a separable conjugates.
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A double-dual characterization of separable Banach spaces containingl 1
TL;DR: In this paper, it was shown that a separable Banach space B contains a subspace isomorphic to the double-dual of B if and only if there exists an element inB**, which is not a weak* limit of a sequence of elements in B. Consequently, B contains an isomorph of B** if (and only if) the cardinality ofB** is greater than that of the continuum.
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Martingales in Banach Spaces
TL;DR: In this article, the authors consider the strong p-variation of martingales in non-commutative LP * and show that it is uniformly convex and super-reflexive.
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Espaces de Banach stables
Jean-Louis Krivine,B. Maurey +1 more
TL;DR: The notion of stable Banach spaces was introduced in this article by a simple condition on the norm of a Banach space, and it is shown that every infinite dimensional stable space contains LP, for some p, 1≦p < ∞.
References
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Produits Tensoriels Topologiques Et Espaces Nucleaires
TL;DR: In this paper, Bourbaki implique l'accord avec les conditions générales d'utilisation (http://www.numdam.org/legal.php).
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On bases and unconditional convergence of series in Banach spaces
C. Bessaga,A. Pełczyński +1 more
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The Structure of Weakly Compact Sets in Banach Spaces
D. Amir,Joram Lindenstrauss +1 more
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On bases, finite dimensional decompositions and weaker structures in Banach spaces
William B. Johnson,William B. Johnson,Haskell P. Rosenthal,Haskell P. Rosenthal,M. Zippin,M. Zippin +5 more
TL;DR: In this article, the connections between bases and weaker structures in Banach spaces and their duals are investigated, and it is shown that every separable π-structures and finite dimensional Schauder decomposition has a basis.