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Subalgebras of spaces of continuous functions
Author:
Walter Rudin
Journal:
Proc. Amer. Math. Soc. 7 (1956), 825-830
MSC:
Primary 46.2X
MathSciNet review:
0082650
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References |
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Additional Information
- [1]
Louis Antoine, Sur l'homéomorphie de deux figures et de leurs voisinages, J. Math. Pures Appl. (8) vol. 4 (1921) pp. 221-325.
- [2]
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.
- [3]
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
(14,547e)
- [4]
J.
L. Walsh, Über die Entwicklung einer Funktion einer komplexen
Veränderlichen nach Polynomen, Math. Ann. 96
(1927), no. 1, 437–450 (German). MR
1512332, http://dx.doi.org/10.1007/BF01209180
- [5]
John
Wermer, On algebras of continuous
functions, Proc. Amer. Math. Soc. 4 (1953), 866–869. MR 0058877
(15,440g), http://dx.doi.org/10.1090/S0002-9939-1953-0058877-9
- [6]
-, Bull. Amer. Math. Soc. vol. 61 (1955) p. 48.
- [1]
- Louis Antoine, Sur l'homéomorphie de deux figures et de leurs voisinages, J. Math. Pures Appl. (8) vol. 4 (1921) pp. 221-325.
- [2]
- 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.
- [3]
- S. N. Mergelyan, Uniform approximations to functions of a complex variable, Uspehi Mathematičeskih (N.S.) vol. 7 (48) (1952) pp. 31-122; Amer. Math. Soc. Translations, no. 101, 1954. MR 0051921 (14:547e)
- [4]
- J. L. Walsh, Über die Entwicklung einer Funktion einer komplexen Veränderlichen nach Polynomen, Math. Ann. vol. 96 (1926) pp. 437-450. MR 1512332
- [5]
- John Wermer, On algebras of continuous functions, Proc. Amer. Math. Soc. vol. 4 (1953) pp. 866-869. MR 0058877 (15:440g)
- [6]
- -, Bull. Amer. Math. Soc. vol. 61 (1955) p. 48.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9939-1956-0082650-1
PII:
S 0002-9939(1956)0082650-1
Article copyright:
© Copyright 1956 American Mathematical Society
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