Unconditional structures of weakly null sequences

Argyros, S; Gasparis, I

dc.contributor.author	Argyros, S	en
dc.contributor.author	Gasparis, I	en
dc.date.accessioned	2014-03-01T01:48:26Z
dc.date.available	2014-03-01T01:48:26Z
dc.date.issued	1999	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/25481
dc.relation.uri	http://arxiv.org/abs/math/9911019	en
dc.relation.uri	http://www.ams.org/tran/2001-353-05/S0002-9947-01-02711-8/S0002-9947-01-02711-8.pdf	en
dc.subject	banach space	en
dc.subject	ramsey theory	en
dc.title	Unconditional structures of weakly null sequences	en
heal.type	journalArticle	en
heal.publicationDate	1999	en
heal.abstract	The following dichotomy is established for a normalized weakly null sequencein a Banach space: Either every subsequence admits a convex block subsequenceequivalent to the unit vector basis of c, the Banach space of null sequencesunder the supremum norm, or there exists a subsequence which is boundedlyconvexly complete. This result generalizes J. Elton's dichotomy on weakly null	en