Representation of $A$-convex algebras
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- by Allan C. Cochran
- Proc. Amer. Math. Soc. 41 (1973), 473-479
- DOI: https://doi.org/10.1090/S0002-9939-1973-0333735-3
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Abstract:
Algebraic properties of $A$-convex algebras are developed via a functor to locally $m$-convex algebras. The Gel’fand-Mazur theorem holds for $A$-convex algebras, and this fact allows a Gel’fand-type representation theorem for a subclass of uniformly $A$-convex algebras. Connections to existing functional representation theory are also obtained.References
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Bibliographic Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 41 (1973), 473-479
- MSC: Primary 46H05
- DOI: https://doi.org/10.1090/S0002-9939-1973-0333735-3
- MathSciNet review: 0333735