Peak sets for the real part of a function algebra

Author:

Briem Eggert

Abstract

We show that if A A is a function algebra with the property that every peak set for re A A is an interpolation set for A A then A = C ( X ) A = C(X) .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference9 articles.

1. London Mathematical Society Monographs;Asimow, L.,1980

2. Split faces associated with function algebras;Briem, Eggert;J. London Math. Soc. (2),1974

3. A characterization of simplexes by parallel faces;Briem, Eggert;Bull. London Math. Soc.,1980

4. On split faces and function algebras;Ellis, A. J.;Math. Ann.,1972

5. On facially continuous functions in function algebras;Ellis, Alan J.;J. London Math. Soc. (2),1972

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Distances between convex subsets of state spaces;Bulletin of the Australian Mathematical Society;1985-08

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