On a theorem of Rudin
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- by Donald R. Chalice PDF
- Proc. Amer. Math. Soc. 35 (1972), 296-297 Request permission
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 $\Lambda$.References
Additional Information
- © Copyright 1972 American Mathematical Society
- 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