Homomorphism Weak amenability of certain Banach algebras
(ندگان)پدیدآور
Sadeghi, HamidLashkarizadeh, Mahmmodنوع مدرک
TextResearch Paper
زبان مدرک
Englishچکیده
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.
کلید واژگان
Banach algebra$varphi$-commutative
$varphi$-derivation
$varphi$-weakly amenability
شماره نشریه
1تاریخ نشر
2018-08-011397-05-10
ناشر
Semnan Universityسازمان پدید آورنده
Department of Mathematics, Faculty of Science, University of Isfahan, Isfahan, IranDepartment of Mathematics, Faculty of Science, University of Isfahan, Isfahan, Iran




