Fixed point and spectral characterization of finite dimensional C*-algebras

Simple item page
dc.creatorDhompongsa, S.
dc.creatorFupinwong, W.
dc.creatorLawton, W.
dc.date2009-01-23
dc.date.accessioned2026-07-07T12:33:43Z
dc.date.available2026-07-07T12:33:43Z
dc.descriptionWe show that the following conditions on a C*-algebra are equivalent: (i) it has the fixed point property for nonexpansive mappings, (ii) the spectrum of every self adjoint element is finite, (iii) it is finite dimensional. We prove that (i) implies (ii) using constructions given by Goebel, that (ii) implies (iii) using projection operator properties derived from the spectral and Gelfand-Naimark-Segal theorems, and observe that (iii) implies (i) by Brouwer's fixed point theorem.
dc.description6 pages, no figures
dc.identifierhttps://arxiv.org/abs/0901.3646
dc.identifierhttp://arxiv.org/abs/0901.3646
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217226
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subject46B20, 46L05 (Primary) 46L45, 47H09 (Secondary)
dc.titleFixed point and spectral characterization of finite dimensional C*-algebras
dc.typetext

Files

Collections

arXiv