Talagrand's Kσ δ problem

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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

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