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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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Generalizing the Paley-Wiener perturbation theory for Banach spaces
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by Peter G. Casazza and Nigel J. Kalton PDF
Proc. Amer. Math. Soc. 127 (1999), 519-527 Request permission

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
  • MR Author ID: 45945
  • 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
  • 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 1999 American Mathematical Society
  • 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