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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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The Weyl essential spectrum
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by Richard Bouldin PDF
Proc. Amer. Math. Soc. 28 (1971), 531-536 Request permission

Abstract:

Using a modest geometric hypothesis the main theorem of these results classifies the Weyl essential spectrum and the Browder essential spectrum according to the standard terminology for the spectrum of a Hilbert space operator.
References
  • S. K. Berberian, An extension of Weyl’s theorem to a class of not necessarily normal operators, Michigan Math. J. 16 (1969), 273–279. MR 250094
  • S. K. Berberian, Some conditions on an operator implying normality, Math. Ann. 184 (1969/70), 188–192. MR 256205, DOI 10.1007/BF01351562
  • R. H. Bouldin, Essential spectrum for a Hilbert space operator (to appear).
  • L. A. Coburn, Weyl’s theorem for nonnormal operators, Michigan Math. J. 13 (1966), 285–288. MR 201969
  • Paul R. Halmos, A Hilbert space problem book, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1967. MR 0208368
  • Vasile Istrăţescu, Weyl’s theorem for a class of operators, Rev. Roumaine Math. Pures Appl. 13 (1968), 1103–1105. MR 238105
  • Tosio Kato, Perturbation theory for linear operators, Die Grundlehren der mathematischen Wissenschaften, Band 132, Springer-Verlag New York, Inc., New York, 1966. MR 0203473
  • Joseph I. Nieto, On the essential spectrum of symmetrizable operators, Math. Ann. 178 (1968), 145–153. MR 233221, DOI 10.1007/BF01350656
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Additional Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 28 (1971), 531-536
  • MSC: Primary 47.30
  • DOI: https://doi.org/10.1090/S0002-9939-1971-0278093-6
  • MathSciNet review: 0278093