Spectral perturbation bounds for selfadjoint operators

Details Spectral perturbation bounds for selfadjoint operators Spectral perturbation bounds for selfadjoint operators

2007-04-06

arxiv.org/abs/0704.0872v2

Mathematics

Spectral Theory

30 pages

Scientific paper

We give general spectral and eigenvalue perturbation bounds for a selfadjoint operator perturbed in the sense of the pseudo-Friedrichs extension. We also give several generalisations of the aforementioned extension. The spectral bounds for finite eigenvalues are obtained by using analyticity and monotonicity properties (rather than variational principles) and they are general enough to include eigenvalues in gaps of the essential spectrum.

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