Essential spectrum for a Hilbert space operator
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- by Richard Bouldin PDF
- Trans. Amer. Math. Soc. 163 (1972), 437-445 Request permission
Erratum: Trans. Amer. Math. Soc. 199 (1974), 429.
Abstract:
Various notions of essential spectrum have been defined for densely defined closed operators on a Banach space. This paper shows that the theory for those notions of essential spectrum simplifies if the underlying space is a Hilbert space and the operator is reduced by its finite-dimensional eigenspaces. In that situation this paper classifies each essential spectrum in terms of the usual language for the spectrum of a Hilbert space operator. As an application this paper deduces the main results of several recent papers dealing with generalizations of the Weyl theorem.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 163 (1972), 437-445
- MSC: Primary 47.30
- DOI: https://doi.org/10.1090/S0002-9947-1972-0284837-5
- MathSciNet review: 0284837