Talagrand's K-sigma delta problem

Argyros, SA; Arvanitakis, AD; Mercourakis, SK

dc.contributor.author	Argyros, SA	en
dc.contributor.author	Arvanitakis, AD	en
dc.contributor.author	Mercourakis, SK	en
dc.date.accessioned	2014-03-01T01:57:37Z
dc.date.available	2014-03-01T01:57:37Z
dc.date.issued	2008	en
dc.identifier.issn	0166-8641	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/28454
dc.subject	Talagrand compact	en
dc.subject	K-sigma delta space	en
dc.subject	K-analytic space	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	BANACH-SPACES	en
dc.title	Talagrand's K-sigma delta problem	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	We show that the Banach spaces C(K) with K either an adequate Talagrand compact or a quasi adequate sigma-Eberlein Talagrand compact are K-sigma delta subsets of their second dual endowed with the weak* topology. As consequence we obtain that weakly K-analytic Banach spaces with an unconditional basis are K-sigma delta. We also provide an example of a Talagrand compact K such that C(K) is not K-sigma delta in its second dual. This answers a problem posed by M. Talagrand. (C) 2008 Elsevier B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	TOPOLOGY AND ITS APPLICATIONS	en
dc.identifier.isi	ISI:000258751900014	en
dc.identifier.volume	155	en
dc.identifier.issue	15	en
dc.identifier.spage	1737	en
dc.identifier.epage	1755	en