Generalized Approximate Amenability of Direct Sum of Banach Algebras

Author(s):

H. Sadeghi

Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In the present paper for two $mathfrak{A}$-module Banach algebras $A$ and $B$, we investigate relations between $varphi$-$mathfrak{A}$-module approximate amenability of $A$, $psi$-$mathfrak{A}$-module approximate amenability of $B$, and $varphioplus psi$-$mathfrak{A}$-module approximate amenability of $Aoplus B$ ($l^1$-direct sum of $A$ and $B$), where $varphiin$ Hom$_{mathfrak{A}}(A)$ and $psiin$ Hom$_{mathfrak{A}}(B)$.
Keywords:

Banach algebra , Module derivation , Module approximate amenability

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:13 Issue: 1, May 2018
Pages:
75 to 87
https://www.magiran.com/p1818349