Spreading Models in Banach Space Theory

Argyros, S; Kanellopoulos, V; Tyros, K

dc.contributor.author	Argyros, S	en
dc.contributor.author	Kanellopoulos, V	en
dc.contributor.author	Tyros, K	en
dc.date.accessioned	2014-03-01T01:59:33Z
dc.date.available	2014-03-01T01:59:33Z
dc.date.issued	2010	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/28961
dc.relation.uri	http://arxiv.org/abs/1006.0957	en
dc.subject	banach space	en
dc.title	Spreading Models in Banach Space Theory	en
heal.type	journalArticle	en
heal.publicationDate	2010	en
heal.abstract	We extend the classical Brunel-Sucheston definition of the spreading model byintroducing the $\mathcal{F}$-sequences $(x_s)_{s\in\mathcal{F}}$ in a Banachspace and the plegma families in $\mathcal{F}$ where $\mathcal{F}$ is a regularthin family. The new concept yields a transfinite increasing hierarchy ofclasses of 1-subsymmetric sequences. We explore the corresponding theory and wepresent examples establishing this hierarchy and illustrating the	en