Module Homomorphisms of the Dual Modules of Convolution Banach Algebras

Abstract

Abstract Suppose that A is either the group algebra L 1 (G) of a locally compact group G , or the Volterra algebra or a weighted convolution algebra with a regulated weight. We characterize: a) Module homomorphisms of A *, when A * is regarded an A ** left Banach module with the Arens product, b) all the weak*-weak* continuous left multipliers of A **.