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The Reconstruction Property in Banach Spaces and a Perturbation Theorem

Published online by Cambridge University Press:  20 November 2018

Peter G. Casazza  and
Ole Christensen
Peter G. Casazza
Affiliation:
Department of Mathematics, University of Missouri, Columbia, Mo 65211, U.S.A.. e-mail: pete@casazza.math.missouri.edu
Ole Christensen
Affiliation:
Technical University of Denmark, Department of Mathematics, 2800 Lyngby, Denmark. e-mail: Ole.Christensen@mat.dtu.dk
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Abstract

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Perturbation theory is a fundamental tool in Banach space theory. However, the applications of the classical results are limited by the fact that they force the perturbed sequence to be equivalent to the given sequence. We will develop amore general perturbation theory that does not force equivalence of the sequences.

Keywords

42C15
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 51 , Issue 3 , 01 September 2008 , pp. 348 - 358
Copyright
Copyright © Canadian Mathematical Society 2008

References

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