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The Reconstruction Property in Banach Spaces and a Perturbation Theorem |
Canad. Math. Bull. 51(2008), 348-358
Published:2008-09-01
Printed: Sep 2008
Printed: Sep 2008
- Peter G. Casazza
- Ole Christensen
Abstract
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
a more general perturbation theory that does not force equivalence of the
sequences.
| MSC Classifications: | 42C15 - General harmonic expansions, frames |