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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
Unital power compact and quasicompact endomorphisms of extended analytic Lipschitz algebras
Type
JournalPaper
Keywords
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Year
2012
Journal Int. Journal of Math. Analysis
DOI
Researchers Davood Alimohammadi ، MALIHEH MAYGHANI

Abstract

In this paper we study unital endomorphisms of extended analytic Lipschitz algebras which are also power compact linear operators or quasicompact linear operators. We ?rst give a su?cient condition for a unital quasicompact endomorphism of these algebras to be power compact. Then in certain cases, we show that this condition is also necessary. Using this, by constructing an example, we show that there exists a unital quasicompact endomorphism of these algebras which is not power compact. As a ?nal result, we give a necessary condition for the quasicompactness of a unital endomorphism of these algebras.