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On isolated points of the spectrum of a bounded linear operator
Author:
Christoph Schmoeger
Journal:
Proc. Amer. Math. Soc. 117 (1993), 715-719
MSC:
Primary 47A10
MathSciNet review:
1111438
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Abstract: For a bounded linear operator  on a Banach space we characterize the isolated points in the spectrum of  , the Riesz points of  , and the poles of the resolvent of  .
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- J. K. Finch, The single-valued extension property on a Banach space, Pacific J. Math. 58 (1975), 61-69. MR 0374985 (51:11181)
- [2]
- H. Heuser, Funktionalanalysis, 2nd ed., Teubner, Stuttgart, 1986. MR 1027595 (90m:46001)
- [3]
- M. Mbekhta, Généralisation de la décomposition de Kato aux opérateurs paranormaux et spectraux, Glasgow Math. J. 29 (1987), 159-175. MR 901662 (88i:47010)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9939-1993-1111438-8
PII:
S 0002-9939(1993)1111438-8
Keywords:
Local spectral theory,
isolated points of the spectrum,
Riesz points
Article copyright:
© Copyright 1993 American Mathematical Society
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