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

Published online by Cambridge University Press:  20 November 2018

Ole Christensen*
Affiliation:
Department of Mathematics Technical University of Denmark Building 303 DK-2800 Lyngby Denmark, email: [email protected]
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Abstract

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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.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1999

References

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