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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Most normal operators are diagonal
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by C. K. Fong
Proc. Amer. Math. Soc. 99 (1987), 671-672
DOI: https://doi.org/10.1090/S0002-9939-1987-0877037-5
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Abstract:

We show that nondiagonal operators form a meager set in the set of all normal operators on a separable, infinite dimensional Hilbert space.
References
  • John C. Oxtoby, Measure and category, 2nd ed., Graduate Texts in Mathematics, vol. 2, Springer-Verlag, New York-Berlin, 1980. A survey of the analogies between topological and measure spaces. MR 584443
    • K. Yosida, Functional analysis, Die Grundlehren der Math. Wissenschaften in Einzeldarstellungen, Band 123, Springer-Verlag, New York, 1965.
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Bibliographic Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 99 (1987), 671-672
  • MSC: Primary 47B15; Secondary 47A55
  • DOI: https://doi.org/10.1090/S0002-9939-1987-0877037-5
  • MathSciNet review: 877037