MODULE HOMOMORPHISMS OF THE DUAL MODULES OF CONVOLUTION BANACH-ALGEBRAS

Suppose that A is either the group algebra L1(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**.