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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 real uniform isometries between real Banach algebras of complex-valued continuous functions with involution
Type
Presentation
Keywords
2local real isometry‎, ‎real linear isometry‎, ‎topological involution‎, ‎uniform isometry
Year
2019
Researchers Davood Alimohammadi ، Hadis Pazandeh

Abstract

‎We give a complete description of 2-local real uniform isometries between $C(X,\tau)$ and $C(Y,\eta)$ where $X$ and $Y$ are compact Hausdorff spaces‎, ‎$ X $ is also first countable and $\tau$ and $\eta$ are topological involutions on $X$ and $Y$‎, ‎respectively‎. ‎We show that every 2-local real uniform isometry $T$ from $C(X,\tau)$ to $ C(Y,\eta)$ is a real uniform isometry whenever $X$ is also separable‎.d