Perturbation of spectra and spectral subspaces

Details Perturbation of spectra and spectral subspaces Perturbation of spectra and spectral subspaces

2003-06-01

arxiv.org/abs/math/0306025v2

Trans. Amer. Math. Soc. Vol. 359 (2007), 77-89

Mathematics

Spectral Theory

Scientific paper

10.1090/S0002-9947-06-03930-4

We consider the problem of variation of spectral subspaces for linear
self-adjoint operators under off-diagonal perturbations. We prove a number of
new optimal results on the shift of the spectrum and obtain (sharp) estimates
on the norm of the difference of two spectral projections.

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