Perturbation of spectra and spectral subspaces
Kostrykin, Vadim ; Makarov, Konstantin A. ; Motovilov, Alexander K.
arXiv, 0306025 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-06-01
Classification:  Mathematics - Spectral Theory,  Mathematical Physics,  47A15,  47A55,  47B15 
@article{0306025,
     author = {Kostrykin, Vadim and Makarov, Konstantin A. and Motovilov, Alexander K.},
     title = {Perturbation of spectra and spectral subspaces},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0306025}
}

Kostrykin, Vadim; Makarov, Konstantin A.; Motovilov, Alexander K. Perturbation of spectra and spectral subspaces. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0306025/