Hereditarily Indecomposable Banach algebras of diagonal operators

Argyros, S; Deliyanni, I; Tolias, A

dc.contributor.author	Argyros, S	en
dc.contributor.author	Deliyanni, I	en
dc.contributor.author	Tolias, A	en
dc.date.accessioned	2014-03-01T01:57:51Z
dc.date.available	2014-03-01T01:57:51Z
dc.date.issued	2009	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/28563
dc.relation.uri	http://arxiv.org/abs/0902.1646	en
dc.subject	banach algebra	en
dc.subject	banach space	en
dc.subject	Compact Operator	en
dc.subject	Dual Space	en
dc.title	Hereditarily Indecomposable Banach algebras of diagonal operators	en
heal.type	journalArticle	en
heal.publicationDate	2009	en
heal.abstract	We provide a characterization of the Banach spaces $X$ with a Schauder basis$(e_n)_{n\in\mathbb{N}}$ which have the property that the dual space $X^$ isnaturally isomorphic to the space $\mathcal{L}_{diag}(X)$ of diagonal operatorswith respect to $(e_n)_{n\in\mathbb{N}}$ . We also construct a HereditarilyIndecomposable Banach space ${\mathfrak X}_D$ with a Schauder basis$(e_n)_{n\in\mathbb{N}}$ such that ${\mathfrak X}^_D$ is isometric to	en