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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The closed ideals of some Dirichlet and hypo-Dirichlet algebras


Author: Robert G. Blumenthal
Journal: Proc. Amer. Math. Soc. 32 (1972), 469-471
MSC: Primary 46.55
MathSciNet review: 0290111
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Abstract: We characterize the closed ideals of (i) the Dirichlet algebras discovered by A. Browder and J. Wermer and (ii) the hypo-Dirichlet algebras discovered recently by A. G. Brandstein. Our results show that the class of closed ideals of each of these algebras is surprisingly restricted.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1972-0290111-9
PII: S 0002-9939(1972)0290111-9
Keywords: Singular homeomorphism, analytic function, closed ideal, dual space of $ C(X)$
Article copyright: © Copyright 1972 American Mathematical Society