$\Delta $-weak character amenability of certain Banach algebras

Abstract

In this paper we introduce the notion of ∆-weak character amenable Banach algebras and investigate ∆-weak character amenability of certain Banach algebras such as projective tensor product A ⊗B, Lau product A ×T B for every Banach algebra A and B, where T be a homomorphism from B into A, abstract Segal algebras and module extension Banach algebras.