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Proceedings of the American Mathematical Society

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

 

 

Some applications of the Stone-Weierstrass theorem to planar rational approximation


Author: Steven Minsker
Journal: Proc. Amer. Math. Soc. 58 (1976), 94-96
MSC: Primary 46J10
DOI: https://doi.org/10.1090/S0002-9939-1976-0467322-6
MathSciNet review: 0467322
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Abstract: The Stone-Weierstrass theorem is used to prove two general results about algebras of continuous functions, and each of these yields a necessary and sufficient condition for the planar function algebras $ R(K)$ and $ C(K)$ to be coincident.


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DOI: https://doi.org/10.1090/S0002-9939-1976-0467322-6
Keywords: Stone-Weierstrass theorem, rational approximation, dirichlet algebra
Article copyright: © Copyright 1976 American Mathematical Society