A weak Hilbert space with few symmetries

Argyros, S; Beanland, K; Raikoftsalis, T

dc.contributor.author	Argyros, S	en
dc.contributor.author	Beanland, K	en
dc.contributor.author	Raikoftsalis, T	en
dc.date.accessioned	2014-03-01T01:57:42Z
dc.date.available	2014-03-01T01:57:42Z
dc.date.issued	2009	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/28477
dc.relation.uri	http://www.people.vcu.edu/~kbeanland/Papers/weakHilbert.pdf	en
dc.relation.uri	http://arxiv.org/abs/0910.4401	en
dc.subject	banach space	en
dc.subject	Bounded Linear Operator	en
dc.subject	Hilbert Space	en
dc.title	A weak Hilbert space with few symmetries	en
heal.type	journalArticle	en
heal.publicationDate	2009	en
heal.abstract	We construct a weak Hilbert Banach space such that for every block subspace$Y$ every bounded linear operator on Y is of the form D+S where S is a strictlysingular operator and D is a diagonal operator. We show that this yields a weakHilbert space whose block subspaces are not isomorphic to any of their propersubspaces.	en