Lindelof type of generalization of separability in Banach spaces

Simple item page
dc.creatorTalponen, Jarno
dc.date2008-03-25
dc.date2008-04-10
dc.date.accessioned2026-07-07T09:31:14Z
dc.date.available2026-07-07T09:31:14Z
dc.descriptionWe will introduce the countable separation property (CSP) of Banach spaces X, which is defined as follows: For each subset \mathcal{F} of X^{\ast}, which separates X, there exists a countable separating subset \mathcal{F}_{0} of \mathcal{F}. All separable Banach spaces have CSP and plenty of examples of non-separable CSP spaces are provided. Connections of CSP with Markucevic-bases, Corson property and related geometric issues are discussed.
dc.identifierhttps://arxiv.org/abs/0803.3541
dc.identifierhttp://arxiv.org/abs/0803.3541
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158389
dc.subjectFunctional Analysis
dc.subject46B26; 46A50
dc.titleLindelof type of generalization of separability in Banach spaces
dc.typetext

Files

Collections

arXiv