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Representation of 𝐴-convex algebras

Name: Representation of 𝐴-convex algebras
Creator: Allan C. Cochran
Keywords: 4. Education, Representations of topological algebras, General theory of topological algebras, 0101 mathematics, Categories, functors in functional analysis, Structure, classification of topological algebras, 01 natural sciences

Representation of A-convex algebras

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Dec 1973Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 41, pages 473-479 (issn: 0002-9939, eissn: 1088-6826,

Authors: Allan C. Cochran;

doi: 10.1090/s0002-9939-1973-0333735-3 , 10.2307/2039116

Representation of 𝐴-convex algebras

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Abstract

Algebraic properties of A A -convex algebras are developed via a functor to locally m m -convex algebras. The Gel’fand-Mazur theorem holds for A A -convex algebras, and this fact allows a Gel’fand-type representation theorem for a subclass of uniformly A A -convex algebras. Connections to existing functional representation theory are also obtained.

Keywords

Representations of topological algebras, General theory of topological algebras, Categories, functors in functional analysis, Structure, classification of topological algebras

7 Research products, page 1 of 1

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