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Perturbation of Spectra and Spectral Subspaces
Vadim Kostrykin, K. A. Makarov and A. K. Motovilov
Transactions of the American Mathematical Society
Vol. 359, No. 1 (Jan., 2007), pp. 77-89
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/20161568
Page Count: 13
You can always find the topics here!Topics: Mathematical theorems, Mathematical problems, Eigenvalues, Spectral theory, Operator theory, Linear algebra, Perturbation theory, Borel sets, Hilbert spaces
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We consider the problem of variation of spectral subspaces for linear self-adjoint operators with emphasis on the case of 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 associated with isolated parts of the spectrum of the perturbed and unperturbed operators, respectively.
Transactions of the American Mathematical Society © 2007 American Mathematical Society