Skip to Main Content

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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Most normal operators are diagonal
HTML articles powered by AMS MathViewer

by C. K. Fong PDF
Proc. Amer. Math. Soc. 99 (1987), 671-672 Request permission

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.
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 47B15, 47A55
  • Retrieve articles in all journals with MSC: 47B15, 47A55
Additional 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