On one generalization of weakly compactly generated Banach spaces
L. Vašák (1981)
Studia Mathematica
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L. Vašák (1981)
Studia Mathematica
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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.
J. Kakol, M. López Pellicer (2009)
RACSAM
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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.
J. Orihuela, W. Schachermayer, M. Valdivia (1991)
Studia Mathematica
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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.
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)...
David Yost (1997)
Extracta Mathematicae
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Hansell, R. (2001)
Serdica Mathematical Journal
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This paper was extensively circulated in manuscript form beginning in the Summer of 1989. It is being published here for the first time in its original form except for minor corrections, updated references and some concluding comments.