Hereditarily indecomposable Banach algebras of diagonal operators

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	2014-03-01T01:35:47Z
dc.date.available	2014-03-01T01:35:47Z
dc.date.issued	2011	en
dc.identifier.issn	0021-2172	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21195
dc.subject	banach algebra	en
dc.subject	banach space	en
dc.subject	Compact Operator	en
dc.subject	Dual Space	en
dc.subject.classification	Mathematics	en
dc.subject.other	NONCOMPACT OPERATORS	en
dc.subject.other	SPACES	en
dc.subject.other	L1	en
dc.title	Hereditarily indecomposable Banach algebras of diagonal operators	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s11856-011-0004-x	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s11856-011-0004-x	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	We provide a characterization of the Banach spaces X with a Schauder basis (e(n))(n is an element of N) which have the property that the dual space X* is naturally isomorphic to the space L-diag(X) of diagonal operators with respect to (e(n))(n is an element of N). We also construct a Hereditarily Indecomposable Banach space X-D with a Schauder basis (e(n))(n is an element of N) such that X-D* is isometric to L-diag(X-D) with these Banach algebras being Hereditarily Indecomposable. Finally, we show that every T is an element of L-diag(X-D) is of the form T = lambda I + K, where K is a compact operator.	en
heal.publisher	HEBREW UNIV MAGNES PRESS	en
heal.journalName	Israel Journal of Mathematics	en
dc.identifier.doi	10.1007/s11856-011-0004-x	en
dc.identifier.isi	ISI:000287757400004	en
dc.identifier.volume	181	en
dc.identifier.issue	1	en
dc.identifier.spage	65	en
dc.identifier.epage	110	en