Title : ( A remark on weak module-amenability in Banach algebras )
Authors: Seyyed Alireza Kamel Mirmostafaee , Omid Pourbahri Rahpeyma ,
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Abstract
Abstract. We define a new concept of module amenability which is compatible with original definition of amenability. For a module dual algebra A, we will show that if every module derivation D : A∗∗ → JA∗∗ ⊥ is inner then A is weak module amenable. Moreover, we will prove that under certain conditions, weak module amenability of A∗∗ implies weak module amenability of A.
Keywords
, Amenability, module amenability.
@article{paperid:1085722,
author = {Kamel Mirmostafaee, Seyyed Alireza and Omid Pourbahri Rahpeyma},
title = {A remark on weak module-amenability in Banach algebras},
journal = {Honam Mathematical Journal},
year = {2021},
volume = {1},
number = {2},
month = {June},
issn = {1225-293x},
pages = {209--219},
numpages = {10},
keywords = {Amenability; module amenability.},
}
%0 Journal Article
%T A remark on weak module-amenability in Banach algebras
%A Kamel Mirmostafaee, Seyyed Alireza
%A Omid Pourbahri Rahpeyma
%J Honam Mathematical Journal
%@ 1225-293x
%D 2021
