Modi ed mixed Tsirelson spaces

Argyros, S; Deliyanni, I; Kutzarova, D; Manoussakis, A

dc.contributor.author	Argyros, S	en
dc.contributor.author	Deliyanni, I	en
dc.contributor.author	Kutzarova, D	en
dc.contributor.author	Manoussakis, A	en
dc.date.accessioned	2014-03-01T01:13:55Z
dc.date.available	2014-03-01T01:13:55Z
dc.date.issued	1998	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12783
dc.subject	Support Vector	en
dc.title	Modi ed mixed Tsirelson spaces	en
heal.type	journalArticle	en
heal.identifier.primary	10.1006/jfan.1998.3310	en
heal.identifier.secondary	http://dx.doi.org/10.1006/jfan.1998.3310	en
heal.publicationDate	1998	en
heal.abstract	We study the modified and boundedly modified mixed Tsirelson spacesTM[(Fkn,θn)∞n=1] andTM(s)[(Fkn,θn)∞n=1], respectively, defined by a subsequence (Fkn) of the sequence of Schreier families (Fn). These are reflexive asymptotic ℓ1spaces with an unconditional basis (ei)ihaving the property that every sequence {xi}ni=1of normalized disjointly supported vectors contained in ⦠ei⦔∞i=nis equivalent to the basis of ℓn1. We show that if limθ1/nn=1 then the	en
heal.journalName	Journal of Functional Analysis	en
dc.identifier.doi	10.1006/jfan.1998.3310	en