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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
2Local uniform isometries between complex Lipschitz algebras
Type
JournalPaper
Keywords
Banach algebra · 2-local isometry · Linear isometry · Lipschitz homeomorphism
Year
2020
Journal Annals of Functional Analysis
DOI
Researchers Davood Alimohammadi ، reyhaneh bagheri

Abstract

Let (X, d) be a metric space and let Lip(X, d) denote the complex algebra of all complex-valued bounded functions f on X for which f is a Lipschitz function on (X, d). In this paper we give a complete description of all 2-local real and complex uniform isometries between Lip(X, d) and Lip(Y, ρ), where (X, d) and (Y, ρ) are compact metric spaces. In particular,we showthat every 2-local real (complex, respectively) uniform isometry from Lip(X, d) to Lip(Y,ρ) is a surjective real (complex, respectively) linear uniform isometry. e