On Spectral Properties of Perturbed Operators
- 1 June 1995
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 123 (6) , 1845-1850
- https://doi.org/10.2307/2161000
Abstract
Farid (1991) has given an estimate for the norm of a perturbation V required to obtain an eigenvector for the perturbed operator within a given ball centered at a given eigenvector of the unperturbed (closed linear) operator T. A similar result is derived from a more general result of the author (1989) which also guarantees that the corresponding eigenvalue is simple and also that the eigenpair is the limit of a sequence obtained in an iterative manner.Keywords
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