Localization for uniform algebras generated by real-analytic functions
Copyright policy )Localization for uniform algebras generated by real-analytic functions
It is shown that if A A is a uniform algebra generated by real-analytic functions on a suitable compact subset K K of a real-analytic variety such that the maximal ideal space of A A is K K and every continuous function on K K is locally a uniform limit of functions in A A , then A = C ( K ) 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.
- University System of Ohio United States
- College of the Holy Cross United States
- Bowling Green State University United States
Banach algebras of continuous functions, function algebras, Banach algebras of differentiable or analytic functions, \(H^p\)-spaces, Mathematics - Complex Variables, Stone-Weierstrass type results, FOS: Mathematics, Primary 46J10, 46J15. Secondary 32A38, 32A65, Complex Variables (math.CV), Ideals, maximal ideals, boundaries
Banach algebras of continuous functions, function algebras, Banach algebras of differentiable or analytic functions, \(H^p\)-spaces, Mathematics - Complex Variables, Stone-Weierstrass type results, FOS: Mathematics, Primary 46J10, 46J15. Secondary 32A38, 32A65, Complex Variables (math.CV), Ideals, maximal ideals, boundaries
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