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Banach algebras with non-Hausdorff structure spaces

Author: Bertram Yood
Journal: Proc. Amer. Math. Soc. 123 (1995), 411-415
MSC: Primary 46H20; Secondary 46H10
MathSciNet review: 1216828
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Abstract: An example due to G. W. Mackey is an instance of a class of Banach algebras whose spaces of primitive ideas are not Hausdorff spaces.

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  • [1] I. Gelfand and G. Šilov, Über verschiedene Methoden der Einführung der Topologie in die Menge der maximalen Ideale eines normierten Ringes, Rec. Math. [Mat. Sbornik] N. S. 9 (51) (1941), 25–39 (German, with Russian summary). MR 0004729
  • [2] C. W. Kohls, The space of prime ideals of a ring, Fund. Math. 45 (1957), 17–27. MR 0100610
  • [3] Nathan Jacobson, Structure of rings, American Mathematical Society, Colloquium Publications, vol. 37, American Mathematical Society, 190 Hope Street, Prov., R. I., 1956. MR 0081264
  • [4] Neal H. McCoy, The theory of rings, The Macmillan Co., New York; Collier-Macmillan Ltd., London, 1964. MR 0188241
  • [5] Charles E. Rickart, General theory of Banach algebras, The University Series in Higher Mathematics, D. van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. MR 0115101
  • [6] Bertram Yood, Structure spaces of rings and Banach algebras, Michigan Math. J. 31 (1984), no. 2, 181–189. MR 752254, 10.1307/mmj/1029003022
  • [7] Frank F. Bonsall and John Duncan, Complete normed algebras, Springer-Verlag, New York-Heidelberg, 1973. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 80. MR 0423029

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Article copyright: © Copyright 1995 American Mathematical Society