Relative amenability of Banach algebras

2019/11/29 by Hoger Ghahramani, Ghahramani, Hoger, Wania Khodakarami +3
Mathematics · #Advanced Operator Algebra Research

paper · pdf · doi:10.48550/arxiv.1911.12996

Abstract

Let A be a Banach algebra and I be a closed ideal of A. We say that A is amenable relative to I, if A/I is an amenable Banach algebra. We study the relative amenability of Banach algebras and investigate the relative amenability of triangular Banach algebras and Banach algebras associated to locally compact groups. We generalize some of the previous known results by applying the concept of relative amenability of Banach algebras, especially, we present a generalization of Johnson's theorem in the concept of relative amenability.

Related

• Ideal amenability of Banach algebras on locally compact groups
• Derivation into duals of ideals of Banach algebras
• Notes on amenability
• Derivations into n-th duals of ideals of Banach algebras
• Homomorphisms, amenability and weak amenability of Banach algebras