Subalgebras of spaces of continuous functions
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- by Walter Rudin
- Proc. Amer. Math. Soc. 7 (1956), 825-830
- DOI: https://doi.org/10.1090/S0002-9939-1956-0082650-1
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References
- Louis Antoine, Sur l’homéomorphie de deux figures et de leurs voisinages, J. Math. Pures Appl. (8) vol. 4 (1921) pp. 221-325.
Arnaud Denjoy, Sur les fonctions analytiques uniformes qui restent continues sur un ensemble parfait discontinu de singularités, C. R. Acad. Sci. Paris vol. 148 (1909) pp. 1154-1156.
- S. N. Mergelyan, Uniform approximations of functions of a complex variable, Uspehi Matem. Nauk (N.S.) 7 (1952), no. 2(48), 31–122 (Russian). MR 0051921
- J. L. Walsh, Über die Entwicklung einer Funktion einer komplexen Veränderlichen nach Polynomen, Math. Ann. 96 (1927), no. 1, 437–450 (German). MR 1512332, DOI 10.1007/BF01209180
- John Wermer, On algebras of continuous functions, Proc. Amer. Math. Soc. 4 (1953), 866–869. MR 58877, DOI 10.1090/S0002-9939-1953-0058877-9 —, Bull. Amer. Math. Soc. vol. 61 (1955) p. 48.
Bibliographic Information
- © Copyright 1956 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 7 (1956), 825-830
- MSC: Primary 46.2X
- DOI: https://doi.org/10.1090/S0002-9939-1956-0082650-1
- MathSciNet review: 0082650