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Flat sets, l(p)-generating and fixing c(0) in the nonseparable setting

SYSNO ASEP	0336577
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Flat sets, l(p)-generating and fixing c(0) in the nonseparable setting
Title	Ploché množiny, l(p)-generování a usazení c(0) v neseparabilním případě
Author(s)	Fabian, Marián (MU-W)_{RID, SAI, ORCID} Gonzáles, A. (ES) Zizler, Václav (MU-W)_{RID, SAI}
Source Title	Journal of the Australian Mathematical Society Series A-Pure Mathematics and Statistics - ISSN 1446-7887 Roč. 87, č. 2 (2009), s. 197-210
Number of pages	13 s.
Language	eng - English
Country	AU - Australia
Keywords	Lipschitz-weak*-Kadets-Klee norm ; c(0)(Gamma)-generated space ; l(p)(Gamma)-generated space ; weakly compactly generated space ; asymptotically p-flat set ; innerly asymptotically p-flat set
Subject RIV	BA - General Mathematics
R&D Projects	IAA100190610 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
	GA201/07/0394 GA ČR - Czech Science Foundation (CSF)
CEZ	AV0Z10190503 - MU-W (2005-2011)
UT WOS	000271249500005
DOI	10.1017/S1446788709000068
Annotation	In terms of uniform weak* Kadec-Klee asymptotic smoothnes, and use these concepts to characterize weakly compactly generated (Asplund) spaces that are c(0)(omega(1))-generated or l(p)(omega(1))-generated, where p is an element of (1, infinity) In particular, we show that every subspace of c(0)(omega(1)) is c(0)(omega(1))-generated and every subspce of l(p)(omega(1)) is l(p)(omega(1))-generated for every p is an element of (1, infinity). As a byproduct of the technology of projectional resolutions of the identity we get an alternative proof of Rosenthal's theorem on fixing c(0)(omega(1)).
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2010

Number of the records: 1