On a class of topological algebras
Allan C. Cochran, R. Keown, Chloe Williams · Pacific Journal of Mathematics · 1970
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 a new way of representing locally m-convex algebras.A-convex algebras are locally mconvex under the assumption of completeness of certain factor algebras in a suitable topology.