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

M. Khanehgir*

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.

Keywords


Hilbert module, Locally m-convex H*-Algebras

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