Displaying similar documents to “On the structure of rank one elements in Banach algebras.”

Commutativity criterions in locally m-convex algebras.

Aida Toma (2003)

Extracta Mathematicae

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In this paper we define the notions of semicommutativity and semicommutativity modulo a linear subspace. We prove some results regarding the semicommutativity or semicommutativity modulo a linear subspace of a sequentially complete m-convex algebra. We show how such results can be applied in order to obtain commutativity criterions for locally m-convex algebras.