M Essmaili

Let A be a Banach algebra and X be an arbitrary Banach A-bimodule. In this paper, we study second transpose a derivation with value in dual Banach A-module X : Indeed, for a continuous derivation D : A ?! X we obtain a necessary and su cient condition such that the bounded linear map D′′ : A ?! X to be a derivation, where is composition of restriction and canonical injection maps.

Derivation, second transpose, Banach module, module actions.