Inverting sets for function algebras
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- by Larry Q. Eifler
- Proc. Amer. Math. Soc. 37 (1973), 92-96
- DOI: https://doi.org/10.1090/S0002-9939-1973-0306916-2
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Abstract:
If A is a function algebra on X, then we say that X is an inverting set for A if $f \in A$ and f does not vanish on X implies f is invertible in A. We obtain results on inverting sets for tensor products and for extensions of $R(X)$ by real valued functions.References
- Theodore W. Gamelin, Uniform algebras, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1969. MR 410387
- Kenneth Hoffman, Banach spaces of analytic functions, Prentice-Hall Series in Modern Analysis, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1962. MR 133008
- D. R. Wilken, Maximal ideal spaces and $A$-convexity, Proc. Amer. Math. Soc. 17 (1966), 1357–1362. MR 203525, DOI 10.1090/S0002-9939-1966-0203525-7
Bibliographic Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 37 (1973), 92-96
- MSC: Primary 46J10
- DOI: https://doi.org/10.1090/S0002-9939-1973-0306916-2
- MathSciNet review: 0306916