Homomorphism Weak amenability of certain Banach algebras

	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
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
آمار تعداد مشاهده مقاله: 15,699 تعداد دریافت فایل اصل مقاله: 9,691

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