Some cohomological properties of Banach algebras

Authors

  • Mostfa Shams Islamic Azad University Tehran
  • Kazem Haghnejad Azar University of Mohaghegh Ardabili

Keywords:

Amenability, weak amenability, cohomological groups.

Abstract

In this manuscript, we investigate and study some cohomological  properties of  Banach algebras. Let $A$ be a Banach algebra with left bounded approximate identity, and let  $B$ be a Banach $A-bimodule$.  We show that if $AB^{**}$ and $B^{**}A$ are subset of $B$, then  $H^1(A,B^{(2n+1)})=0$ for all $n\geq 0$, whenever $H^1(A,B^*)=0$.

Author Biographies

Mostfa Shams, Islamic Azad University Tehran

Department of Mathematics

Kazem Haghnejad Azar, University of Mohaghegh Ardabili

Mathematics Department

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Published

2021-11-06

Issue

Vol. 16

Section

Vol. 16, No. 7, (2022)

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