Generalizing the Paley-Wiener perturbation theory for Banach spaces
Authors:
Peter G. Casazza and Nigel J. Kalton
Journal:
Proc. Amer. Math. Soc. 127 (1999), 519-527
MSC (1991):
Primary 46B03, 46B20
DOI:
https://doi.org/10.1090/S0002-9939-99-04536-0
MathSciNet review:
1468186
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Abstract | References | Similar Articles | Additional Information
Abstract: We extend the Paley-Wiener pertubation theory to linear operators mapping a subspace of one Banach space into another Banach space.
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Additional Information
Peter G. Casazza
Affiliation:
Department of Mathematics, The University of Missouri, Columbia, Missouri 65211
Email:
pete@casazza.math.missouri.edu
Nigel J. Kalton
Affiliation:
Department of Mathematics, The University of Missouri, Columbia, Missouri 65211
Email:
nigel@math.missouri.edu
DOI:
https://doi.org/10.1090/S0002-9939-99-04536-0
Keywords:
Paley-Wiener perturbation theory,
spectrum,
approximate fixed points
Received by editor(s):
March 4, 1997
Received by editor(s) in revised form:
June 1, 1997
Additional Notes:
The first author was supported by NSF-DMS 9201357, the Danish Natural Science Research Council, grant no. 9401598, and grants from the University of Missouri Research Board, and the University of Missouri Research Council. The second author was supported by NSF-DMS 95000125.
Communicated by:
Dale Alspach
Article copyright:
© Copyright 1999
American Mathematical Society
