Function spaces not containing ℓ1

Argyros, SA; Manoussakis, A; Petrakis, M

dc.contributor.author	Argyros, SA	en
dc.contributor.author	Manoussakis, A	en
dc.contributor.author	Petrakis, M	en
dc.date.accessioned	2014-03-01T01:19:00Z
dc.date.available	2014-03-01T01:19:00Z
dc.date.issued	2003	en
dc.identifier.issn	0021-2172	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15316
dc.subject	Function Space	en
dc.subject	reflexive banach space	en
dc.subject.classification	Mathematics	en
dc.subject.other	BANACH-SPACES	en
dc.subject.other	L1	en
dc.subject.other	DUALS	en
dc.title	Function spaces not containing ℓ1	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF02776049	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF02776049	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	For Omega bounded and open subset of R(d)0 and X a reflexive Banach space with 1-symmetric basis, the function space JF(X) (Omega) is defined. This class of spaces includes the classical James function space. Every member of this class is separable and has non-separable dual. We provide a proof of topological nature that JF(X)(Omega) does not contain an isomorphic copy of l(1). We also investigate the structure of these spaces and their duals.	en
heal.publisher	MAGNES PRESS	en
heal.journalName	Israel Journal of Mathematics	en
dc.identifier.doi	10.1007/BF02776049	en
dc.identifier.isi	ISI:000185086600002	en
dc.identifier.volume	135	en
dc.identifier.spage	29	en
dc.identifier.epage	81	en