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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
Sufficient conditions for quasicompact of composition endomorphisms of Lipschitz algebras of complex-valued bounded functions
Type
Presentation
Keywords
Essential spectral radius‎, ‎Lipschitz algebra‎, ‎ quasicompact endomorphism
Year
2018
Researchers Davood Alimohammadi ، MALIHEH MAYGHANI

Abstract

In this paper‎, ‎we study quasicompact‎ ‎ composition endomorphisms of Lipschitz algebras of complex-valued bounded functions on metric spaces‎, ‎not necessarily compact‎. ‎ We give some sufficient conditions that a composition endomorphism of these algebras to be quasicompact‎. ‎ We also establish an upper bound and a formula for the essential spectral radius of a composition endomorphism $ T $ of these algebras under some conditions which implies that $ T $ is quasicompact‎. d