Title of article :
Some results on second transpose of a dual valued derivation
Author/Authors :
Essmaili, Morteza Department of Mathematics - Faculty of Mathematical and Computer Science - Kharazmi University, Tehran, Iran
Abstract :
Let A be a Banach algebra and X be an arbitrary Banach A-module. In this paper, we study the second transpose of derivations with value in dual Banach A-module X∗. Indeed, for a continuous derivation D:A⟶X∗ we obtain a necessary and sufficient condition such that the bounded linear map Λ∘D′′:A∗∗⟶X∗∗∗ to be a derivation, where Λ is composition of restriction and canonical injection maps. This characterization generalizes some well known results in [2].
Keywords :
module actions , Banach module , second transpose , Derivation
