Pseudo-contractibility Of Weighted Lp -Algebras

Abstract

Let A be a Banach algebra and X be a Banach A−bimodule. A derivation is a linear map D : A → X such thatA Banach algebra A is called contractible if every continuous derivation from A into any Banach A−bimodule is inner [15]. Accordingly, A is contractible if and only if it has a diagonal, i.e. there is an element m ∈ A ⊗A for which