An extremely non-homogeneous weak Hilbert space

Argyros, SA; Beanland, K; Raikoftsalis, T

dc.contributor.author	Argyros, SA	en
dc.contributor.author	Beanland, K	en
dc.contributor.author	Raikoftsalis, T	en
dc.date.accessioned	2014-03-01T02:07:38Z
dc.date.available	2014-03-01T02:07:38Z
dc.date.issued	2012	en
dc.identifier.issn	00029947	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29601
dc.subject	Weak Hilbert spaces	en
dc.title	An extremely non-homogeneous weak Hilbert space	en
heal.type	journalArticle	en
heal.identifier.primary	10.1090/S0002-9947-2012-05592-9	en
heal.identifier.secondary	http://dx.doi.org/10.1090/S0002-9947-2012-05592-9	en
heal.publicationDate	2012	en
heal.abstract	We construct a weak Hilbert Banach space such that for every block infspace Y every bounded linear operator on Y is of the form D + S, where S is a strictly singular operator and D is a diagonal operator. We show that this yields a weak Hilbert space whose block infspaces are not isomorphic to any of their proper infspaces. © 2012 American Mathematical Society.	en
heal.journalName	Transactions of the American Mathematical Society	en
dc.identifier.doi	10.1090/S0002-9947-2012-05592-9	en
dc.identifier.volume	364	en
dc.identifier.issue	9	en
dc.identifier.spage	4987	en
dc.identifier.epage	5014	en