A generalization of the weak amenability of some Banach algebra

2010/05/24 by Kazem Haghnejad Azar, Azar, Kazem Haghnejad
Health Professions · Mathematics · #46L06 #46L07 #46L10 #47L25 #Advanced Banach Space Theory #Advanced Operator Algebra Research #Employment and Welfare Studies #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:46L06 #msc:46L07 #msc:46L10 #msc:47L25

paper · pdf · doi:10.48550/arxiv.1005.4319

arxiv created 2010/05/24 · openalex publication_date 2010/05/24 · arxiv updated 2010/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let A be a Banach algebra and A^** be the second dual of it. We show that by some new conditions, A is weakly amenable whenever A^** is weakly amenable. We will study this problem under generalization, that is, if (n+2)-th dual of A, A⁽ⁿ⁺²⁾, is T-S-weakly amenable, then A⁽ⁿ⁾ is T-S-weakly amenable where T and S are continuous linear mappings from A⁽ⁿ⁾ into A⁽ⁿ⁾.

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