(-1)-weak amenability of Unitized Banach Algebras

Authors

  • Arezou Valadkhani
  • Alireza Hosseinioun

Keywords:

Banach algebra, Arens regular, (-1)-weak amenability, Unitization

Abstract

 

 For a Banach algebra A, its second dual A'' is (-1)-weakly amenable

if A' is a Banach A''-bimodule and the first cohomology group of A'' with coefficients in A' is zero i.e. H1(A'',A') = {0}.

In this paper we give some conditions, under each of which A' is a Banach

A''-bimodule. We also investigate the relations between (-1)-weak amenability of A and A#, where A#is the unitization of A.

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Published

2016-04-30

How to Cite

Valadkhani, A., & Hosseinioun, A. (2016). (-1)-weak amenability of Unitized Banach Algebras. European Journal of Pure and Applied Mathematics, 9(2), 231–239. Retrieved from https://ejpam.com/index.php/ejpam/article/view/2299

Issue

Vol. 9 No. 2: (April 2016)

Section

Mathematical Analysis

License

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European Journal of Pure and Applied Mathematics will be Copyright Holder.