On one generalization of weakly compactly generated Banach spaces
L. Vašák (1981)
Studia Mathematica
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Displaying similar documents to “Some results in representable Banach spaces.”
On one generalization of weakly compactly generated Banach spaces
Representable Banach Spaces and Uniformly Gateaux-Smooth Norms
Frontisi, Julien (1996)
Serdica Mathematical Journal
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It is proved that a representable non-separable Banach space does not admit uniformly Gâteaux-smooth norms. This is true in particular for C(K) spaces where K is a separable non-metrizable Rosenthal compact space.
About an example of a Banach space not weaky K-analytic.
J. Kakol, M. López Pellicer (2009)
RACSAM
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Complemented and uncomplemented subspaces of Banach spaces.
Anatolij M. Plichko, David Yost (2000)
Extracta Mathematicae
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Does a given Banach space have any non-trivial complemented subspaces? Usually, the answer is: yes, quite a lot. Sometimes the answer is: no, none at all.
Every Radon-Nikodym Corson compact space is Eberlein compact
J. Orihuela, W. Schachermayer, M. Valdivia (1991)
Studia Mathematica
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Weakly uniformly rotund Banach spaces
Aníbal Moltó, Vicente Montesinos, José Orihuela, Stanimir L. Troyanski (1998)
Commentationes Mathematicae Universitatis Carolinae
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The dual space of a WUR Banach space is weakly K-analytic.
The controlled separable projection property for Banach spaces
Jesús Ferrer, Marek Wójtowicz (2011)
Open Mathematics
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Let X, Y be two Banach spaces. We say that Y is a quasi-quotient of X if there is a continuous operator R: X → Y such that its range, R(X), is dense in Y. Let X be a nonseparable Banach space, and let U, W be closed subspaces of X and Y, respectively. We prove that if X has the Controlled Separable Projection Property (CSPP) (this is a weaker notion than the WCG property) and Y is a quasi-quotient of X, then the structure of Y resembles the structure of a separable Banach space: (a)...