Weak module amenability for the second dual of a Banach algebra

  • Shabani Soltanmoradi Islamic Azad University
  • Davood Ebrahimi Bagha Islamic Azad University
  • Pourbahri Rahpeyma Islamic Azad University
Keywords: module amenability, Banach algebra, the second module dual of a Banach algebra

Abstract

In this paper we study the weak module amenability of Banach algebras which are Banach modules over another Banach algebra with compatible actions. We show that for every module derivation D : A ↦ ( A/J_A )if D∗∗(A∗∗) ⊆ WAP (A/J_A ), then weak module amenability of A∗∗ implies that of A. Also we prove that under certain conditions for the module derivation D, if A∗∗ is weak module amenable then A is also weak module amenable.

Downloads

Download data is not yet available.

Author Biographies

Shabani Soltanmoradi, Islamic Azad University

Department of Mathematics

Davood Ebrahimi Bagha, Islamic Azad University

Department of Mathematics

Pourbahri Rahpeyma, Islamic Azad University

Department of Mathematics

Published
2021-11-17
Section
Articles