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Davood Alimohammadi

Davood Alimohammadi

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

Research

Title
Quasicompact and Riesz Composition Operators on Banach Spaces of Lipschitz Functions on Pointed Metric Spaces
Type
JournalPaper
Keywords
Essential norm, Essential spectral radius, Pointed metric space, Quasicompact operator, Riesz operator
Year
2020
Journal Advances in Operator Theory
DOI
Researchers Davood Alimohammadi ، MALIHEH MAYGHANI

Abstract

In this paper, we study quasicompact and Riesz composition operators on Banach spaces of Lipschitz–Ho¨lder functions on pointed metric spaces. For a composition operator T on these spaces, we give an upper bound for reðTÞ, the essential spectral radius of T, and establish a formula for reðTÞ whenever metric spaces are compact. We also give some necessary and some sufficient conditions that a composition operator T on these spaces to be quasicompact or Riesz. Finally, we get a relation for the set of eigenvalues and the spectrum of a quasicompact and Riesz composition operator on these spaces.