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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A measure-theoretic proof of the Stone-Weierstrass approximation theorem
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by Surjit Singh Khurana
Proc. Amer. Math. Soc. 79 (1980), 564
DOI: https://doi.org/10.1090/S0002-9939-1980-0572302-7
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Abstract:

Using the Daniell integral, a simple proof of the Stone-Weierstrass theorem is obtained.
References
  • R. G. Douglas, On lattices and algebras of real valued functions, Amer. Math. Monthly 72 (1965), 642–643. MR 177285, DOI 10.2307/2313859
    • L. Royden, Real analysis, Macmillan, New York, 1968.
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Bibliographic Information
  • © Copyright 1980 American Mathematical Society
  • 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