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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Compact $2$-manifolds as maximal ideal spaces
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by Alfred G. Brandstein PDF
Proc. Amer. Math. Soc. 41 (1973), 498-500 Request permission

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
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Additional 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