On some maps into Banach algebras and Banach modules
Publish Year: 1400
Type: Journal paper
Language: English
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Document National Code:
JR_IJNAA-12-2_037
Index date: 2 December 2022
On some maps into Banach algebras and Banach modules 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.
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On some maps into Banach algebras and Banach modules authors
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Faculty of Mathematical Sciences and Statistics, Malayer University, P.O. Box ۶۵۷۱۹-۹۵۸۶۳, Malayer, Iran