Unconditional families in Banach spaces

Argyros, SA; Dodos, P; Kanellopoulos, V

dc.contributor.author	Argyros, SA	en
dc.contributor.author	Dodos, P	en
dc.contributor.author	Kanellopoulos, V	en
dc.date.accessioned	2014-03-01T01:29:26Z
dc.date.available	2014-03-01T01:29:26Z
dc.date.issued	2008	en
dc.identifier.issn	0025-5831	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19261
dc.subject	banach space	en
dc.subject	ramsey theory	en
dc.subject.classification	Mathematics	en
dc.subject.other	PARTITION THEOREM	en
dc.subject.other	BIORTHOGONAL SYSTEMS	en
dc.subject.other	INFINITE SUBTREES	en
dc.subject.other	RAMSEY THEOREM	en
dc.subject.other	TREE	en
dc.subject.other	COMPACT	en
dc.subject.other	PROOF	en
dc.subject.other	SETS	en
dc.title	Unconditional families in Banach spaces	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00208-007-0179-y	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00208-007-0179-y	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	It is shown that for every separable Banach space X with non-separable dual, the space X contains an unconditional family of size \|X\|. The proof is based on Ramsey Theory for trees and finite products of perfect sets of reals. Among its consequences, it is proved that every dual Banach space has a separable quotient. © 2007 Springer-Verlag.	en
heal.publisher	SPRINGER	en
heal.journalName	Mathematische Annalen	en
dc.identifier.doi	10.1007/s00208-007-0179-y	en
dc.identifier.isi	ISI:000253201300002	en
dc.identifier.volume	341	en
dc.identifier.issue	1	en
dc.identifier.spage	15	en
dc.identifier.epage	38	en