On the Equivalence of Hermitian Inner Products on Topological *-Algebras (Report‪)‬

1. INTRODUCTION For constructing a Hermitian K-theory for topological *-algebras, one usually supposes that the algebra under consideration is unital and locally m-convex (see [7]). In this paper we obtain similar results as in [7] for the case of both unital and non-unital topological *-algebras without assuming locally m-convexity.