Amenability-Like properties of C(X,A)

2017/06/12 by S. Mohsen Ghoraishi, S. Ghoraishi, Ghoraishi, S. +6
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #math.FA

paper · pdf · doi:10.48550/arxiv.1706.04436

arxiv created 2017/06/12 · openalex publication_date 2017/06/12 · arxiv updated 2017/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let A be a Banach algebra and X be a compact Hausdorff space. Given homomorphisms σ∈ Hom(A) and τ∈ Hom(C(X, A)), we introduce induced homomorphisms σ∈ Hom(C(X, A)) and τ∈ Hom(A), respectively. We study when τ-(weak) amenability of C(X, A) implies τ-(weak) amenability of A. We also investigate where σ-weak amenability of A yields σ-weak amenability of C(X, A).

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• Homomorphisms, amenability and weak amenability of Banach algebras
• Constructions preserving n-weak amenability of Banach algebras
• Ideal amenability of Banach algebras on locally compact groups
• Cohomological properties of different types of weak amenability
• Factorization and weak amenability of A(X)