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 ...

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 ...

Abstract. Motivated by a result of Ky Fan in 1965, we establish a characterization of a left amenable F-algebra (which includes the group algebra and the Fourier algebra of a locally compact group and ...