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Davood Alimohammadi

Davood Alimohammadi

Academic rank: Associate Professor
ORCID: https://orcid.org/0000-0002-9398-6213
Education: PhD.
ScopusId: 6505995626
HIndex:
Faculty: Science
Address: Arak University
Phone:

Research

Title
Nonexpansive mappings of complex C*-algebras and their fixed points
Type
JournalPaper
Keywords
Banach space, C*-algebra, fixed point property, nonexpansive mapping, normed linear space
Year
2016
Journal International Journal of Nonlinear Analysis and Applications
DOI
Researchers Davood Alimohammadi

Abstract

A normed space X is said to have the xed point property, if for each nonexpansive mapping : E!Eon a nonempty bounded closed convex subset Eof X has a xed point. In this paper,e rst show that if Xis a locally compact Hausdor space then the following are equivalent: (i) Xin nite set, (ii) C 0 (X) is in nite dimensional, (iii) C (X) does not have the xed point property. We also show that if Ais a commutative complex C ? 0 {algebra with nonempty carrier space, then the following statements are equivalent: (i) Carrier space of Ais in nite, (ii) Ais in nite dimensional, (iii) Adoes not have the xed point property. Moreover, we show that if Ais an in nite complex ? {algebra (not necessarily commutative), then Adoes not have the xed point property.