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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A note on ideals in the disc algebra


Author: Frank Forelli
Journal: Proc. Amer. Math. Soc. 84 (1982), 389-392
MSC: Primary 46J15; Secondary 30H05
MathSciNet review: 640238
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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.


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DOI: https://doi.org/10.1090/S0002-9939-1982-0640238-0
Article copyright: © Copyright 1982 American Mathematical Society