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On a class of topological algebras

On a class of topological algebras

This note introduces a class of topological algebras, calledA-convex, which generalize the notion of locally m-convex algebras.They include a number of function space algebras which are not locally m-convex.Certain of these algebras admit a modified GeΓfand type representation in a space of vector-valued functions without invoking commutativity requirements.One seemingly obtains …