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Operators with Closed Range, Pseudo-Inverses, and Perturbation of Frames for a Subspace

Open Access article
 Printed: Mar 1999
  • Ole Christensen
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Recent work of Ding and Huang shows that if we perturb a bounded operator (between Hilbert spaces) which has closed range, then the perturbed operator again has closed range. We extend this result by introducing a weaker perturbation condition, and our result is then used to prove a theorem about the stability of frames for a subspace.
MSC Classifications: 42C15 show english descriptions General harmonic expansions, frames 42C15 - General harmonic expansions, frames

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