On spectral properties of perturbed operators

Author:
M. Thamban Nair

Journal:
Proc. Amer. Math. Soc. **123** (1995), 1845-1850

MSC:
Primary 47A55; Secondary 47A75

DOI:
https://doi.org/10.1090/S0002-9939-1995-1242098-5

MathSciNet review:
1242098

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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.

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DOI:
https://doi.org/10.1090/S0002-9939-1995-1242098-5

Article copyright:
© Copyright 1995
American Mathematical Society