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Proceedings of the American Mathematical Society

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A measure-theoretic proof of the Stone-Weierstrass approximation theorem


Author: Surjit Singh Khurana
Journal: Proc. Amer. Math. Soc. 79 (1980), 564
MSC: Primary 46E15
DOI: https://doi.org/10.1090/S0002-9939-1980-0572302-7
MathSciNet review: 572302
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Abstract: Using the Daniell integral, a simple proof of the Stone-Weierstrass theorem is obtained.


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DOI: https://doi.org/10.1090/S0002-9939-1980-0572302-7
Keywords: Regular Borel measures, Daniell integral, Hahn-Banach theorem
Article copyright: © Copyright 1980 American Mathematical Society