Compact $2$-manifolds as maximal ideal spaces
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- by Alfred G. Brandstein
- Proc. Amer. Math. Soc. 41 (1973), 498-500
- DOI: https://doi.org/10.1090/S0002-9939-1973-0324426-3
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Abstract:
It is shown that every compact $2$-manifold is (homeomorphic to) the maximal ideal space of an antisymmetric algebra which is Dirichlet on its Šilov boundary.References
- A. G. Brandstein, Function spaces related to hypo-Dirichlet algebras, Doctoral Thesis, Brown University, Providence, R.I., 1972.
- Andrew Browder, Introduction to function algebras, W. A. Benjamin, Inc., New York-Amsterdam, 1969. MR 0246125
- Andrew Browder and John Wermer, Some algebras of functions on an arc, J. Math. Mech. 12 (1963), 119–130. MR 0144223
- Nelson Dunford and Jacob T. Schwartz, Linear Operators. I. General Theory, Pure and Applied Mathematics, Vol. 7, Interscience Publishers, Inc., New York; Interscience Publishers Ltd., London, 1958. With the assistance of W. G. Bade and R. G. Bartle. MR 0117523
Bibliographic Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 41 (1973), 498-500
- MSC: Primary 46J20
- DOI: https://doi.org/10.1090/S0002-9939-1973-0324426-3
- MathSciNet review: 0324426