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

Matematiikan ja systeemianalyysin laitos

Czech Technical University Prague

Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

5 Sitaatiot (Scopus)

Abstrakti

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.

Alkuperäiskieli	Englanti
Sivut	3933-3939
Sivumäärä	7
Julkaisu	Proceedings of the American Mathematical Society
Vuosikerta	142
Numero	11
DOI - pysyväislinkit	https://doi.org/10.1090/S0002-9939-2014-12123-X
Tila	Julkaistu - 2014
OKM-julkaisutyyppi	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

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10.1090/S0002-9939-2014-12123-X

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title = "Note on Kadets Klee property and Asplund spaces",

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",

author = "Petr H{\'a}jek and Jarno Talponen",

year = "2014",

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T1 - Note on Kadets Klee property and Asplund spaces

AU - Hájek, Petr

AU - Talponen, Jarno

PY - 2014

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N2 - 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.

AB - 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.

KW - Asplund spaces

KW - Coseparable subspaces

KW - Duality mapping

KW - Grothendieck spaces

KW - Renormings

KW - SCP

KW - Separable complementation property

KW - Weak-star Kadets Klee property

KW - Weak-star-to-weak Kadets Klee property

KW - Weakly Lindelöf determined

KW - WLD

UR - https://www.scopus.com/pages/publications/84922970356

U2 - 10.1090/S0002-9939-2014-12123-X

DO - 10.1090/S0002-9939-2014-12123-X

M3 - Article

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SN - 0002-9939

VL - 142

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 11

ER -

Note on Kadets Klee property and Asplund spaces

Abstrakti

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