Strictly singular non-compact diagonal operators on HI spaces

Argyros, SA; Deliyanni, I; Tolias, AG

dc.contributor.author	Argyros, SA	en
dc.contributor.author	Deliyanni, I	en
dc.contributor.author	Tolias, AG	en
dc.date.accessioned	2014-03-01T01:34:41Z
dc.date.available	2014-03-01T01:34:41Z
dc.date.issued	2010	en
dc.identifier.issn	0362-1588	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20799
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-77954678298&partnerID=40&md5=436ba5fc566652eaa94339c326d0a34d	en
dc.subject	Compact operator	en
dc.subject	Diagonal operator	en
dc.subject	Hereditarily indecomposable banach space	en
dc.subject	Strictly singular operator	en
dc.subject.classification	Mathematics	en
dc.subject.other	INDECOMPOSABLE BANACH-SPACES	en
dc.subject.other	GOWERS	en
dc.title	Strictly singular non-compact diagonal operators on HI spaces	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	We construct a Hereditarily Indecomposable Banach space X-d with a Schauder basis (e(n))(n is an element of N) on which there exist strictly singular non-compact diagonal operators. Moreover, the space L-diag(X-d) of diagonal operators with respect to the basis (e(n))(n is an element of N) contains an isomorphic copy of l(infinity)(N).	en
heal.publisher	UNIV HOUSTON	en
heal.journalName	Houston Journal of Mathematics	en
dc.identifier.isi	ISI:000276946000012	en
dc.identifier.volume	36	en
dc.identifier.issue	2	en
dc.identifier.spage	513	en
dc.identifier.epage	566	en