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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Inverting sets for function algebras


Author: Larry Q. Eifler
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
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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.


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DOI: https://doi.org/10.1090/S0002-9939-1973-0306916-2
Keywords: Function algebras, tensor products, inverting sets
Article copyright: © Copyright 1973 American Mathematical Society