A class of Banach spaces with no unconditional basic sequence [Une classe d'espace de Banach sans suite basique inconditionnelle]

Argyros, SA; Lopez-Abad, J; Todorcevic, S

dc.contributor.author	Argyros, SA	en
dc.contributor.author	Lopez-Abad, J	en
dc.contributor.author	Todorcevic, S	en
dc.date.accessioned	2014-03-01T01:18:30Z
dc.date.available	2014-03-01T01:18:30Z
dc.date.issued	2003	en
dc.identifier.issn	1631-073X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15050
dc.subject	banach space	en
dc.subject	reflexive banach space	en
dc.subject.classification	Mathematics	en
dc.title	A class of Banach spaces with no unconditional basic sequence [Une classe d'espace de Banach sans suite basique inconditionnelle]	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S1631-073X(03)00272-3	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S1631-073X(03)00272-3	en
heal.language	French	en
heal.publicationDate	2003	en
heal.abstract	We give a construction of a reflexive Banach space X-omega1 with a transfinite basis of length a)] and with no unconditional basic sequence. In addition every bounded operator from a subspace of X-omega1 into the space X-omega1 is a sum of a simple diagonal operator and a strictly singular one. To cite this article: S.A. Argyros et al., C R. Acad. Sci. Paris, Ser. 1337 (2003). (C) 2003 Academie des sciences. Published by Editions scientifiques et medicales Elsevier SAS. All rights reserved.	en
heal.publisher	EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER	en
heal.journalName	Comptes Rendus Mathematique	en
dc.identifier.doi	10.1016/S1631-073X(03)00272-3	en
dc.identifier.isi	ISI:000184838200008	en
dc.identifier.volume	337	en
dc.identifier.issue	1	en
dc.identifier.spage	43	en
dc.identifier.epage	48	en