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Proceedings of the American Mathematical Society

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Existence of maximal ideals in algebras of continuous functions


Authors: Henry Helson and Frank Quigley
Journal: Proc. Amer. Math. Soc. 8 (1957), 115-119
MSC: Primary 46.2X
DOI: https://doi.org/10.1090/S0002-9939-1957-0084731-6
MathSciNet review: 0084731
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  • [1] H. Helson and F. Quigley, Maximal algebras of continuous functions, Proc. Amer. Math. Soc. vol. 8 (1957) pp. 111-114. MR 0084732 (18:911f)
  • [2] S. N. Mergelyan, Uniform approximations to functions of a complex variable, American Mathematical Society Translations, no. 101.
  • [3] G. E. Šilov, On rings of functions with uniform convergence, Ukrain. Mat. Žurnal vol. 3 (1951) pp. 404-411. MR 0054178 (14:884c)
  • [4] -, On decomposition of a commutative normed ring in a direct sum of ideals, Math. Sbornik N.S. vol. 32 (1953) pp. 353-364. MR 0054177 (14:884b)
  • [5] J. Wermer, Algebras with two generators, Amer. J. Math. vol. 76 (1954) pp. 853-859. MR 0064321 (16:265b)

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DOI: https://doi.org/10.1090/S0002-9939-1957-0084731-6
Article copyright: © Copyright 1957 American Mathematical Society

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