Approximate weak amenability of certain Banach algebras

2015/06/09 by Behrouz Shojaee, Shojaee, Behrouz, Abasalt Bodaghi +1
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.1506.03038

openalex publication_date 2015/06/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that for a locally compact group G, if L¹(G)^** is approximately weakly amenable, then M(G) is approximately weakly amenable. Then, new notions of approximate weak amenability and approximate cyclic amenability for Banach algebras are introduced. Bounded ω^*-approximately weakly [cyclic] amenable ℓ¹-Munn algebras are characterized.

Related

• Approximate weak amenability of Banach algebras
• Generalization of Weak Amenability of Banach Algebras
• Ideal amenability of Banach algebras on locally compact groups
• Different types of weak amenability for Banach algebras
• A generalization of cyclic amenability of Banach algebras