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Proceedings of the American Mathematical Society

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

 
 

 

On a theorem of Rudin


Author: Donald R. Chalice
Journal: Proc. Amer. Math. Soc. 35 (1972), 296-297
MSC: Primary 46J05
DOI: https://doi.org/10.1090/S0002-9939-1972-0298425-3
MathSciNet review: 0298425
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Abstract: We give short proofs of a theorem of Rudin about polynomial approximation in $ {R^{2 + n}}$ and a corollary of this theorem which says that any function algebra on [0, 1] generated by one complex-valued function and n real functions is all continuous functions. At the same time our proof shows that both results hold with n replaced by an arbitrary index set $ \Lambda $.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0298425-3
Article copyright: © Copyright 1972 American Mathematical Society

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