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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
Quasicompact and Riesz unital endomorphisms of real Lipschitz algebras of complex-valued functions
Type
Presentation
Keywords
Essential spectral radius, Lipschitz algebra, quasicompact endomorphism, Riesz endomorphism
Year
2016
Researchers Davood Alimohammadi ، MALIHEH MAYGHANI

Abstract

We first show that every unital endomorphism of real Lipschitz algebras of complex-valued functions on compact metric spaces with Lipschitz involutions is a composition operator. Next, we establish a formula for essential spectral radius of a unital endomorphism $ T $ of these algebras under a condition which is equivalent to the quasicompactness of the endomorphism $ T $. We also conclude a necessary and sufficient condition for a unital endomorphism of these algebras to be Riesz.d