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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
Surjective Real-Linear Uniform Isometries Between Complex Function Algebras
Type
JournalPaper
Keywords
Choquet boundary‎, ‎Function algebra‎, ‎Function space‎, ‎Real-linear uniform isometry
Year
2019
Journal Sahand Communications in Mathematical Analysis
DOI
Researchers Hadis Pazandeh ، Davood Alimohammadi

Abstract

‎In this paper we first give a description of a surjective unit-preserving real-linear uniform isometry $ T‎ : ‎A \longrightarrow B$‎, ‎where $ A $ and $ B $ are complex function spaces on compact Hausdorff spaces $ X $ and $ Y $‎, ‎respectively‎, ‎whenever ${\rm ER}\left (A‎, ‎X\right ) = {\rm Ch}\left (A‎, ‎X\right )$ and ${\rm ER}\left (B‎, ‎Y\right ) = {\rm Ch}\left (B‎, ‎Y\right )$‎. ‎Next‎, ‎we give a description of $ T $ whenever $ A $ and $ B $ are complex function algebras and $ T $ does not assume to be unit-preserving‎.