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The Reconstruction Property in Banach Spaces and a Perturbation Theorem

Open Access article
 Printed: Sep 2008
  • Peter G. Casazza
  • Ole Christensen
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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 a more general perturbation theory that does not force equivalence of the sequences.
MSC Classifications: 42C15 show english descriptions General harmonic expansions, frames 42C15 - General harmonic expansions, frames

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