On the hereditary proximity to ℓ1

Argyros, SA; Manoussakis, A; Pelczar-Barwacz, A

dc.contributor.author	Argyros, SA	en
dc.contributor.author	Manoussakis, A	en
dc.contributor.author	Pelczar-Barwacz, A	en
dc.date.accessioned	2014-03-01T01:36:33Z
dc.date.available	2014-03-01T01:36:33Z
dc.date.issued	2011	en
dc.identifier.issn	0022-1236	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21338
dc.subject	ℓ1-Spreading model	en
dc.subject	Attractors method	en
dc.subject	Bourgain ℓ1-index	en
dc.subject.classification	Mathematics	en
dc.subject.other	WEAKLY NULL SEQUENCES	en
dc.subject.other	BANACH-SPACE	en
dc.subject.other	UNCONDITIONALITY	en
dc.subject.other	SUMMABILITY	en
dc.subject.other	L(1)-INDEX	en
dc.subject.other	DISTORTION	en
dc.subject.other	DICHOTOMY	en
dc.subject.other	THEOREM	en
dc.title	On the hereditary proximity to ℓ1	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.jfa.2011.04.012	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.jfa.2011.04.012	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	In the first part of the paper we present and discuss concepts of local and asymptotic hereditary proximity to l(1). The second part is devoted to a complete separation of the hereditary local proximity to l(1) from the asymptotic one. More precisely for every countable ordinal xi we construct a separable Hereditarily Indecomposable reflexive space xi such that every infinite-dimensional subspace of it has Bourgain l(1)-index greater than omega(xi) and the space itself has no l(1)-spreading model. (C) 2011 Elsevier Inc. All rights reserved.	en
heal.publisher	ACADEMIC PRESS INC ELSEVIER SCIENCE	en
heal.journalName	Journal of Functional Analysis	en
dc.identifier.doi	10.1016/j.jfa.2011.04.012	en
dc.identifier.isi	ISI:000291760100002	en
dc.identifier.volume	261	en
dc.identifier.issue	5	en
dc.identifier.spage	1145	en
dc.identifier.epage	1203	en