Weak and (1)-weak amenability of second dual of Banach algebras

Document Type : Research Paper

Authors

1 University of Simon Fraser, Department of Education, Vancouver, Canada

2 University of Arkansas, Department of Mathematical sciences, Fayetteville, AR 72703, USA

Abstract

For a Banach algebra A, A is (1)-Weakly amenable if A is a Banach A-bimodule and H1(A,A)={0}. In this paper, among other things,  we study the relationships between the (1)-Weakly amenability of A and the weak amenability of A or A. Moreover, we show that the second dual of every C-algebra is (1)-Weakly amenable.

Keywords

Volume 7, Issue 2 - Serial Number 2
December 2016
Pages 39-48
  • Receive Date: 19 December 2015
  • Revise Date: 29 March 2016
  • Accept Date: 20 May 2016