Title of article
On some maps into Banach algebras and Banach modules
Author/Authors
Hayati, Bahman Faculty of Mathematical Sciences and Statistics - Malayer University, Malayer
Pages
7
From page
471
To page
477
Abstract
In this paper, we study some maps from a C∗-algebra into a Banach algebra or a Banach module. Under some conditions, by extending on unitization of Banach algebras, we prove that the maps defined into Banach algebras are homomorphisms and the others defined into Banach modules are derivations. Applications of our results in the context of C∗-algebras are also provided.
Keywords
Homomorphism , Derivation , Banach module , C*-algebra
Journal title
International Journal of Nonlinear Analysis and Applications
Serial Year
2021
Record number
2701618
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