On the hereditary proximity to $\ell_1$

Argyros, S; Manoussakis, A; Pelczar, A

dc.contributor.author	Argyros, S	en
dc.contributor.author	Manoussakis, A	en
dc.contributor.author	Pelczar, A	en
dc.date.accessioned	2014-03-01T01:58:01Z
dc.date.available	2014-03-01T01:58:01Z
dc.date.issued	2009	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/28603
dc.relation.uri	http://arxiv.org/abs/0907.4317	en
dc.subject	Indexation	en
dc.title	On the hereditary proximity to $\ell_1$	en
heal.type	journalArticle	en
heal.publicationDate	2009	en
heal.abstract	In the first part of the paper we present and discuss concepts of local andasymptotic hereditary proximity to \ell_1. The second part is devoted to acomplete separation of the hereditary local proximity to \ell_1 from theasymptotic one. More precisely for every countable ordinal \xi we construct aseparable reflexive space \mathfrak{X}_\xi such that every infinite dimensionalsubspace	en