Examples of asymptotically \ell_^1 Banach spaces

Argyros, S; Deliyanni, I

dc.contributor.author	Argyros, S	en
dc.contributor.author	Deliyanni, I	en
dc.date.accessioned	2014-03-01T01:42:21Z
dc.date.available	2014-03-01T01:42:21Z
dc.date.issued	1994	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/23799
dc.relation.uri	http://arxiv.org/abs/math/9407210	en
dc.subject	banach space	en
dc.title	Examples of asymptotically \ell_^1 Banach spaces	en
heal.type	journalArticle	en
heal.publicationDate	1994	en
heal.abstract	Two examples of asymptotic $\ell_{1}$ Banach spaces are given. The first,$X_{u}$, has an unconditional basis and is arbitrarily distortable. Thesecond, $X$, does not contain any unconditional basic sequence. Both arespaces of the type of Tsirelson. We thus answer a question raised byW.T.Gowers.	en