2016•International journal of nonlinear analysis and applicationsRequires access
Weak and $(-1)$-weak amenability of second dual of Banach algebras
A. Valadkhani, S. A. R. Hosseinioun
Open publisher page 0 citations
Abstract
For a Banach algebra $A$, $A''$ is $(-1)$-Weakly amenable if $A'$ is a Banach $A''$-bimodule and $H^1(A'',A')={0}$. 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 $C^ast$-algebra is $(-1)$-Weakly amenable.