Note on Kadets Klee property and Asplund spaces

Petr Hájek; Jarno Talponen

doi:10.1090/S0002-9939-2014-12123-X

Note on Kadets Klee property and Asplund spaces

Petr Hájek, Jarno Talponen

Department of Mathematics and Systems Analysis

Czech Technical University in Prague

Research output: Contribution to journal › Article › Scientific › peer-review

4 Citations (Scopus)

Abstract

A typical result in this note is that if X is a Banach space which is a weak Asplund space and has the ω*-ω-Kadets Klee property, then X is already an Asplund space.

Original language	English
Pages (from-to)	3933-3939
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	142
Issue number	11
DOIs	https://doi.org/10.1090/S0002-9939-2014-12123-X
Publication status	Published - 2014
MoE publication type	A1 Journal article-refereed

Keywords

Asplund spaces
Coseparable subspaces
Duality mapping
Grothendieck spaces
Renormings
SCP
Separable complementation property
Weak-star Kadets Klee property
Weak-star-to-weak Kadets Klee property
Weakly Lindelöf determined
WLD

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10.1090/S0002-9939-2014-12123-X

Cite this

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abstract = "A typical result in this note is that if X is a Banach space which is a weak Asplund space and has the ω*-ω-Kadets Klee property, then X is already an Asplund space.",

keywords = "Asplund spaces, Coseparable subspaces, Duality mapping, Grothendieck spaces, Renormings, SCP, Separable complementation property, Weak-star Kadets Klee property, Weak-star-to-weak Kadets Klee property, Weakly Lindel{\"o}f determined, WLD",

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Note on Kadets Klee property and Asplund spaces

Abstract

Keywords

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