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arXiv · 1509.08041

Localization for Uniform Algebras Generated by Real-Analytic Functions

John T. Anderson·Alexander J. Izzo
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Abstract

It is shown that if $A$ is a uniform algebra generated by real-analytic functions on a suitable compact subset $K$ of a real-analytic variety such that the maximal ideal space of $A$ is $K$, and every continuous function on $K$ is locally a uniform limit of functions in $A$, then $A=C(K)$. This gives an affirmative answer to a special case of a question from the Proceedings of the Symposium on Function Algebras held at Tulane University in 1965.

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John T. Anderson, Alexander J. Izzo. 2015-09-27. Localization for Uniform Algebras Generated by Real-Analytic Functions. https://arxiv.org/abs/1509.08041

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