ON HILBERT MODULES OVER LOCALLY M-CONVEX H¤¡ALGEBRAS

A Hilbert E¡module is defined where (E; (j:j¸)¸2¤) is a locally m-convex H¤¡algebra. With each ¸ 2 ¤ we associate a Hilbert module cW¸ over H¤¡algebra b E¸. We obtain relationship between these spaces and the original space. Indeed, more properties of these spaces are detected.