Module Pseudo-amenability of Banach algebras

Abstract

The notions of module pseudo-amenable and module pseudo-contractible Banach algebras are introduced. For a Banach algebra with bounded approximate identity, module pseudo-amenability and module approximate amenability are the same properties. It is given a complete characterization of module pseudo-amenability for a Banach algebra. For every inverse semigroup $S$ with subsemigroup $E$ of idempotents, necessary and sufficient conditions are obtained for the ${\ell }^1(S)$ and its second dual to be ${\ell }^1(E)$-module pseudo-amenable.

Accepted in Annals of the Alexandru Ioan Cuza University - Mathematics

References in corpus (1)

• Module approximate amenability of Banach algebras