Perturbation of spectra and spectral subspaces
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- by Vadim Kostrykin, K. A. Makarov and A. K. Motovilov PDF
- Trans. Amer. Math. Soc. 359 (2007), 77-89
Abstract:
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.References
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Additional Information
- Vadim Kostrykin
- Affiliation: Fraunhofer-Institut für Lasertechnik, Steinbachstraße 15, D-52074 Aachen, Germany
- Address at time of publication: Institut für Mathematik, Technische Universität Clausthal, Erzstraße 1, D-38678 Clausthal-Zellerfeld, Germany
- Email: kostrykin@ilt.fraunhofer.de, kostrykin@t-online.de
- K. A. Makarov
- Affiliation: Department of Mathematics, University of Missouri, Columbia, Missouri 65211
- Email: makarov@math.missouri.edu
- A. K. Motovilov
- Affiliation: Department of Mathematics, University of Missouri, Columbia, Missouri 65211
- Address at time of publication: Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Moscow Region, Russia
- Email: motovilv@thsun1.jinr.ru
- Received by editor(s): September 23, 2004
- Published electronically: July 20, 2006
- © Copyright 2006 V. Kostrykin, K. A. Makarov, A. K. Motovilov
- Journal: Trans. Amer. Math. Soc. 359 (2007), 77-89
- MSC (2000): Primary 47A15, 47A55; Secondary 47B15
- DOI: https://doi.org/10.1090/S0002-9947-06-03930-4
- MathSciNet review: 2247883
Dedicated: Dedicated to Volker Enss on the occasion of his 60th birthday