On some maps into Banach algebras and Banach modules
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJNAA-12-2_037
تاریخ نمایه سازی: 11 آذر 1401
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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Faculty of Mathematical Sciences and Statistics, Malayer University, P.O. Box ۶۵۷۱۹-۹۵۸۶۳, Malayer, Iran