(Delta)-weak Character Amenability of Certain Banach Algebras

Abstract

‎In this paper we introduce the notion of Delta-weak character amenable Banach algebras and investigate $\Delta$-weak character amenability of certain Banach algebras such as projective tensor product $A\widehat{\otimes}B$‎, ‎Lau product $A\times_{\theta}B$‎, ‎where $\theta\in \Delta(B)$‎, ‎abstract Segal algebras and module extension Banach algebras‎.