On some maps into Banach algebras and Banach modules

被引：0

作者：

Hayati, Bahman ^{[1
]}

机构：

[1] Malayer Univ, Fac Math Sci & Stat, POB 65719-95863, Malayer, Iran

来源：

INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2021年 / 12卷 / 02期

关键词：

Homomorphism; Derivation; Banach module; C*-algebra; DERIVATIONS;

D O I：

10.22075/ijnaa.2021.21768.2295

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：471 / 477

页数：7

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