2015/06/09 by Abasalt Bodaghi, Bodaghi, Abasalt, Ali Jabbari +1
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #math.FA
paper · pdf · doi:10.48550/arxiv.1506.03025
Accepted in Annals of the Alexandru Ioan Cuza University - Mathematics
arxiv created 2015/06/09 · openalex publication_date 2015/06/09 · arxiv updated 2015/06/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 ℓ1(S) and its second dual to be ℓ1(E)-module pseudo-amenable.