Weakly null sequences with an unconditional subsequence

Arvanitakis, AD

dc.contributor.author	Arvanitakis, AD	en
dc.date.accessioned	2014-03-01T01:25:30Z
dc.date.available	2014-03-01T01:25:30Z
dc.date.issued	2006	en
dc.identifier.issn	0002-9939	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17687
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	RAMSEY	en
dc.subject.other	SETS	en
dc.title	Weakly null sequences with an unconditional subsequence	en
heal.type	journalArticle	en
heal.identifier.primary	10.1090/S0002-9939-05-07948-7	en
heal.identifier.secondary	http://dx.doi.org/10.1090/S0002-9939-05-07948-7	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	In the present paper we provide sufficient conditions such that a normalized pointwise convergent to zero sequence in C(K, X) with K a compact space and X a Banach space has an unconditional subsequence. As a consequence we obtain that any such sequence of functions (fn)n with finite and uniformly bounded cardinality of their range admits an unconditional subsequence. © 2005 American Mathematical Society.	en
heal.publisher	AMER MATHEMATICAL SOC	en
heal.journalName	Proceedings of the American Mathematical Society	en
dc.identifier.doi	10.1090/S0002-9939-05-07948-7	en
dc.identifier.isi	ISI:000232081100010	en
dc.identifier.volume	134	en
dc.identifier.issue	1	en
dc.identifier.spage	67	en
dc.identifier.epage	74	en