Generalized Approximate Amenability of Direct Sum of Banach Algebras

Abstract. In the present paper for two A-module Banach algebras A and B, we investigate relations between ϕ-A-module approximate amenability of A, ψ-A-module approximate amenability of B, and ϕ ⊕ ψ-A-module approximate amenability of A ⊕ B (l1-direct sum of A and B), where ϕ ∈ HomA(A) and ψ ∈ HomA(B).