The closed ideals of some Dirichlet and hypo-Dirichlet algebras
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- by Robert G. Blumenthal PDF
- Proc. Amer. Math. Soc. 32 (1972), 469-471 Request permission
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.References
- Robert G. Blumenthal, Maximality in function algebras, Canadian J. Math. 22 (1970), 1002–1004. MR 275166, DOI 10.4153/CJM-1970-115-4
- A. G. Brandstein, A class of hypo-Dirichlet algebras, Proc. Amer. Math. Soc. 28 (1971), 501–504. MR 285912, DOI 10.1090/S0002-9939-1971-0285912-6
- A. Browder and J. Wermer, A method for constructing Dirichlet algebras, Proc. Amer. Math. Soc. 15 (1964), 546–552. MR 165385, DOI 10.1090/S0002-9939-1964-0165385-0
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 32 (1972), 469-471
- MSC: Primary 46.55
- DOI: https://doi.org/10.1090/S0002-9939-1972-0290111-9
- MathSciNet review: 0290111