Closed ideals in $C(X)$
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- by Philip Nanzetta and Donald Plank
- Proc. Amer. Math. Soc. 35 (1972), 601-606
- DOI: https://doi.org/10.1090/S0002-9939-1972-0303496-1
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Abstract:
The characterization of uniformly closed ideals in $C(X)$, for X compact Hausdorff, is well known. In this note, we extend this characterization to an arbitrary completely regular Hausdorff X and derive some corollaries.References
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- Donald Plank, Closed $l$-ideals in a class of lattice-ordered algebras, Illinois J. Math. 15 (1971), 515–524. MR 280423
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Bibliographic Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 35 (1972), 601-606
- MSC: Primary 54C40
- DOI: https://doi.org/10.1090/S0002-9939-1972-0303496-1
- MathSciNet review: 0303496