Localization for Uniform Algebras Generated by Real-Analytic Functions
2015
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.
Keywords:
- Correction
- Cite
- Save
- Machine Reading By IdeaReader
12
References
0
Citations
NaN
KQI