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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


Author: P. J. de Paepe
Journal: Proc. Amer. Math. Soc. 70 (1978), 63-66
MSC: Primary 46J10
DOI: https://doi.org/10.1090/S0002-9939-1978-0493360-5
MathSciNet review: 0493360
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Abstract: Let A be a function algebra on a compact Hausdorff space X and let $ f \in A$. The Stone-Weierstrass theorem is used to obtain results on the function algebra on X generated by the elements of A and the function $ \bar f$.


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DOI: https://doi.org/10.1090/S0002-9939-1978-0493360-5
Keywords: Function algebra, Stone-Weierstrass theorem, set of antisymmetry
Article copyright: © Copyright 1978 American Mathematical Society