A weak Hilbert space with few symmetries [Un espace failble de Hilbert avec peu de symétries]

Argyros, SA; Beanland, K; Raikoftsalis, T

dc.contributor.author	Argyros, SA	en
dc.contributor.author	Beanland, K	en
dc.contributor.author	Raikoftsalis, T	en
dc.date.accessioned	2014-03-01T01:32:35Z
dc.date.available	2014-03-01T01:32:35Z
dc.date.issued	2010	en
dc.identifier.issn	1631-073X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20182
dc.subject	banach space	en
dc.subject	Bounded Linear Operator	en
dc.subject	Hilbert Space	en
dc.subject	Satisfiability	en
dc.subject	Singular Perturbation	en
dc.subject.classification	Mathematics	en
dc.subject.other	BANACH-SPACES	en
dc.title	A weak Hilbert space with few symmetries [Un espace failble de Hilbert avec peu de symétries]	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.crma.2010.10.032	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.crma.2010.10.032	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	We construct a separable Banach space with an unconditional basis that is a weak Hilbert space and no block subspace is linearly isomorphic to any of its proper subspaces. We prove that the space Hwt, satisfies these properties by showing it is strongly asymptotic l(2) and that every bounded linear operator on x(wh) is a strictly singular perturbation of a diagonal operator with respect to the unit vector basis. (C) 2010 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.	en
heal.publisher	ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER	en
heal.journalName	Comptes Rendus Mathematique	en
dc.identifier.doi	10.1016/j.crma.2010.10.032	en
dc.identifier.isi	ISI:000285675300012	en
dc.identifier.volume	348	en
dc.identifier.issue	23-24	en
dc.identifier.spage	1293	en
dc.identifier.epage	1296	en