A note on ideals in the disc algebra
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- by Frank Forelli
- Proc. Amer. Math. Soc. 84 (1982), 389-392
- DOI: https://doi.org/10.1090/S0002-9939-1982-0640238-0
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Abstract:
We offer an elementary theorem on ideals in the disc algebra $A({\mathbf {D}})$, which by way of a corollary, one, identifies the maximal ideals of $A({\mathbf {D}})$, and two, provides a proof, which avoids the axiom of choice, that every proper ideal in $A({\mathbf {D}})$ is contained in a maximal ideal.References
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Bibliographic Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 84 (1982), 389-392
- MSC: Primary 46J15; Secondary 30H05
- DOI: https://doi.org/10.1090/S0002-9939-1982-0640238-0
- MathSciNet review: 640238