MODULE HOMOMORPHISMS ASSOCIATED WITH BANACH ALGEBRAS

Let A be a Banach algebra. In this paper, among the other things, we present a few results in the theory of homomorphisms on A*. We want to find out when the equality T (af) = aT(f) for every a is an element of A and f is an element of A* implies the equality T(Ff) = FT(f) for every f is an element of A* and F is an element of A**. One of the main results of this paper is to introduce and study the notion of a weakly almost periodic operator.