Operators with Closed Range, Pseudo-Inverses, and Perturbation of Frames for a Subspace
Printed: Mar 1999
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.
42C15 - General harmonic expansions, frames