Amenability in Banach algebras is a central concept in abstract harmonic analysis and functional analysis, reflecting the capacity of an algebra to admit a bounded approximate identity and a virtual ...

The amenability of the Banach algebra ℓ1(G) of a discrete semigroup G, and its implications for the structure of G has been much studied over recent years. In this paper we investigate implications of ...

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 ...