Talagrand's Kσ δ 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	2014-03-01T01:29:17Z
dc.date.available	2014-03-01T01:29:17Z
dc.date.issued	2008	en
dc.identifier.issn	01668641	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19204
dc.subject	K-analytic space	en
dc.subject	Kσ δ space	en
dc.subject	Talagrand compact	en
dc.title	Talagrand's Kσ δ problem	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.topol.2008.05.014	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.topol.2008.05.014	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 σ-Eberlein Talagrand compact are Kσ δ 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 Kσ δ. We also provide an example of a Talagrand compact K such that C (K) is not Kσ δ in its second dual. This answers a problem posed by M. Talagrand. © 2008 Elsevier B.V. All rights reserved.	en
heal.journalName	Topology and its Applications	en
dc.identifier.doi	10.1016/j.topol.2008.05.014	en
dc.identifier.volume	155	en
dc.identifier.issue	15	en
dc.identifier.spage	1737	en
dc.identifier.epage	1755	en