Homomorphism Weak amenability of certain Banach algebras
Publish Year: 1397
نوع سند: مقاله ژورنالی
زبان: English
View: 75
This Paper With 11 Page And PDF Format Ready To Download
- Certificate
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_IJNAA-9-1_019
تاریخ نمایه سازی: 11 آذر 1401
Abstract:
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.
Keywords: