On some maps into Banach algebras and Banach modules
عنوان مقاله: On some maps into Banach algebras and Banach modules
شناسه ملی مقاله: JR_IJNAA-12-2_037
منتشر شده در در سال 1400
شناسه ملی مقاله: JR_IJNAA-12-2_037
منتشر شده در در سال 1400
مشخصات نویسندگان مقاله:
- - - Faculty of Mathematical Sciences and Statistics, Malayer University, P.O. Box ۶۵۷۱۹-۹۵۸۶۳, Malayer, Iran
خلاصه مقاله:
- - - Faculty of Mathematical Sciences and Statistics, Malayer University, P.O. Box ۶۵۷۱۹-۹۵۸۶۳, Malayer, Iran
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.
کلمات کلیدی: homomorphism, Derivation, Banach module, C*-algebra
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1561117/