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Homomorphism Weak amenability of certain Banach algebras | ||
International Journal of Nonlinear Analysis and Applications | ||
مقاله 19، دوره 9، شماره 1، آذر 2018، صفحه 235-245 اصل مقاله (410.28 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22075/ijnaa.2018.1201.1276 | ||
نویسندگان | ||
Hamid Sadeghi* ؛ Mahmmod Lashkarizadeh | ||
Department of Mathematics, Faculty of Science, University of Isfahan, Isfahan, Iran | ||
تاریخ دریافت: 21 بهمن 1394، تاریخ بازنگری: 15 بهمن 1396، تاریخ پذیرش: 06 فروردین 1397 | ||
چکیده | ||
In this paper we introduce the notion of $\varphi$-commutativity for a Banach algebra $A$, where $\varphi$ is a continuous homomorphism on $A$ and study the concept of $\varphi$-weak amenability for $\varphi$-commutative Banach algebras. We give an example to show that the class of $\varphi$-weakly amenable Banach algebras is larger than that of weakly amenable commutative Banach algebras. We characterize $\varphi$-weak amenability of $\varphi$-commutative Banach algebras and prove some hereditary properties. Moreover we verify some of the previous available results about commutative weakly amenable Banach algebras, for $\varphi$-commutative $\varphi$-weakly amenable Banach algebras. | ||
کلیدواژهها | ||
Banach algebra؛ $varphi$-commutative؛ $varphi$-derivation؛ $varphi$-weakly amenability | ||
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