Displaying similar documents to “A new class of weakly K -analytic Banach spaces”

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.

Weak compactness and σ-Asplund generated Banach spaces

M. Fabian, V. Montesinos, V. Zizler (2007)

Studia Mathematica

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σ-Asplund generated Banach spaces are used to give new characterizations of subspaces of weakly compactly generated spaces and to prove some results on Radon-Nikodým compacta. We show, typically, that in the framework of weakly Lindelöf determined Banach spaces, subspaces of weakly compactly generated spaces are the same as σ-Asplund generated spaces. For this purpose, we study relationships between quantitative versions of Asplund property, dentability, differentiability, and of weak...