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Operators with Closed Range, Pseudo-Inverses, and Perturbation of Frames for a Subspace |
Canad. Math. Bull. 42(1999), 37-45
Published:1999-03-01
Printed: Mar 1999
Printed: Mar 1999
- Ole Christensen
Abstract
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 - General harmonic expansions, frames |