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arXiv · 1506.03025

Module Pseudo-amenability of Banach algebras

Abasalt Bodaghi·Ali Jabbari
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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.

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Abasalt Bodaghi, Ali Jabbari. 2015-06-09. Module Pseudo-amenability of Banach algebras. https://arxiv.org/abs/1506.03025

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