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On some maps into Banach algebras and Banach modules | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، شماره 2، بهمن 2021، صفحه 471-477 اصل مقاله (310.64 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.21768.2295 | ||
| نویسنده | ||
| Bahman Hayati* | ||
| Faculty of Mathematical Sciences and Statistics, Malayer University, P.O. Box 65719-95863, Malayer, Iran | ||
| تاریخ دریافت: 19 آبان 1399، تاریخ پذیرش: 23 فروردین 1400 | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Homomorphism؛ Derivation؛ Banach module؛ C*-algebra | ||
| مراجع | ||
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