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Generalizing the Paley-Wiener perturbation theory for Banach spaces
Author(s):
Peter
G.
Casazza;
Nigel
J.
Kalton
Journal:
Proc. Amer. Math. Soc.
127
(1999),
519-527.
MSC (1991):
Primary 46B03, 46B20
MathSciNet review:
1468186
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Abstract:
We extend the Paley-Wiener pertubation theory to linear operators mapping a subspace of one Banach space into another Banach space.
References:
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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:
10.1090/S0002-9939-99-04536-0
PII:
S 0002-9939(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
Copyright of article:
Copyright
1999,
American Mathematical Society
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