A Müntz-Szász theorem for $C(\bar D)$
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- by Tavan T. Trent PDF
- Proc. Amer. Math. Soc. 83 (1981), 296-298 Request permission
Abstract:
A Müntz-Szasz theorem is proved for the continuous functions on the closed unit disc $\overline D$. As a corollary it is shown that if $\gcd (n,m) = 1$, the uniformly closed algebra generated by 1, ${z^n}$, ${\bar z^m}$ is $C(\overline D )$ (Minsker).References
- P. J. de Paepe, Some applications of the Stone-Weierstrass theorem, Proc. Amer. Math. Soc. 70 (1978), no. 1, 63–66. MR 493360, DOI 10.1090/S0002-9939-1978-0493360-5
- Steven Minsker, Some applications of the Stone-Weierstrass theorem to planar rational approximation, Proc. Amer. Math. Soc. 58 (1976), 94–96. MR 467322, DOI 10.1090/S0002-9939-1976-0467322-6
- Walter Rudin, Real and complex analysis, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1966. MR 0210528
- Walter Rudin, Functional analysis, McGraw-Hill Series in Higher Mathematics, McGraw-Hill Book Co., New York-Düsseldorf-Johannesburg, 1973. MR 0365062
Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 83 (1981), 296-298
- MSC: Primary 46J10; Secondary 30E10
- DOI: https://doi.org/10.1090/S0002-9939-1981-0624917-6
- MathSciNet review: 624917