Embedding uniformly convex spaces into spaces with very few operators

Argyros, SA; Freeman, D; Haydon, R; Odell, E; Raikoftsalis, T; Schlumprecht, T; Zisimopoulou, D

dc.contributor.author	Argyros, SA	en
dc.contributor.author	Freeman, D	en
dc.contributor.author	Haydon, R	en
dc.contributor.author	Odell, E	en
dc.contributor.author	Raikoftsalis, T	en
dc.contributor.author	Schlumprecht, T	en
dc.contributor.author	Zisimopoulou, D	en
dc.date.accessioned	2014-03-01T02:08:51Z
dc.date.available	2014-03-01T02:08:51Z
dc.date.issued	2012	en
dc.identifier.issn	00221236	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29733
dc.subject	Bourgain-Delbaen spaces	en
dc.subject	Embedding Banach spaces	en
dc.subject	Scalar plus compact	en
dc.subject	Very few operators	en
dc.title	Embedding uniformly convex spaces into spaces with very few operators	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.jfa.2011.10.004	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.jfa.2011.10.004	en
heal.publicationDate	2012	en
heal.abstract	We prove that every separable uniformly convex Banach space X embeds into a Banach space Z which has the property that all bounded linear operators on Z are compact perturbations of scalar multiples of the identity. More generally, the result holds for all separable reflexive Banach spaces of Szlenk index ω0. © 2011 Elsevier Inc.	en
heal.journalName	Journal of Functional Analysis	en
dc.identifier.doi	10.1016/j.jfa.2011.10.004	en
dc.identifier.volume	262	en
dc.identifier.issue	3	en
dc.identifier.spage	825	en
dc.identifier.epage	849	en