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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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Equality of spectra of quasi-similar hyponormal operators
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by Stuart Clary PDF
Proc. Amer. Math. Soc. 53 (1975), 88-90 Request permission

Abstract:

It is shown that quasi-similar hyponormal operators have equal spectra.
References
  • T. Ando, Operators with a norm condition, Acta Sci. Math. (Szeged) 33 (1972), 169–178. MR 320800
  • R. G. Douglas, On the operator equation $S^{\ast } XT=X$ and related topics, Acta Sci. Math. (Szeged) 30 (1969), 19–32. MR 250106
  • Paul R. Halmos, A Hilbert space problem book, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1967. MR 0208368
  • T. B. Hoover, Quasi-similarity of operators, Illinois J. Math. 16 (1972), 678–686. MR 312304
    • B. Sz.-Nagy and C. Foiaş, Analyse harmonique des opérateurs de l’espace de Hilbert, Masson, Paris; Akad. Kiadó, Budapest, 1967; English rev. transl., North-Holland, Amsterdam; American Elsevier, New York; Akad. Kiadó, Budapest, 1970. MR 37 #778; 43 #947.
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 53 (1975), 88-90
  • MSC: Primary 47B20
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0390824-7
  • MathSciNet review: 0390824