Oluwatosin Temitope Mewomo, G. Akinbo
Abstract
Let A be a Banach algebra and ϕ: A → A be a continuous homomorphism. We generalize the notion of n-weak amenability of A to that of (ϕ) − n-weak amenability for n ∈ N. We give conditions under which the module extension Banach algebra and second dual of A are (ϕ) − n-weakly amenable. 1
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Let A be a Banach algebra and ϕ: A → A be a continuous homomorphism. We generalize the notion of n-weak amenability of A to that of (ϕ) − n-weak amenability for n ∈ N. We give conditions under which the module extension Banach algebra and second dual of A are (ϕ) − n-weakly amenable. 1
Key concepts: Homomorphism, Banach algebra, Mathematics, Generalization, Pure mathematics, Extension (predicate logic), Algebra over a field, Locally compact group