Perturbation of spectra and spectral subspaces
Spectral Theory
2007-07-23 v2 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.math/0306025,
title = {Perturbation of spectra and spectral subspaces},
author = {Vadim Kostrykin and Konstantin A. Makarov and Alexander K. Motovilov},
journal= {arXiv preprint arXiv:math/0306025},
year = {2007}
}