• On Hilbert Modules over Locally m-Convex H*-Algebras

Abstract

In this paper a Hilbert module is defined where is a locally m-convex algebra. With each we associate a Hilbert module over an algebra . We obtain relationship between these spaces and the initial space. Moreover the existence of orthonormal bases in a Hilbert module is proved. We topologized the space of bounded linear operators via suitable family of seminorms.