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Perturbation of spectra and spectral subspaces
Author(s):
Vadim
Kostrykin;
K.
A.
Makarov;
A.
K.
Motovilov
Journal:
Trans. Amer. Math. Soc.
359
(2007),
77-89.
MSC (2000):
Primary 47A15, 47A55;
Secondary 47B15
Posted:
July 20, 2006
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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.
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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
DOI:
10.1090/S0002-9947-06-03930-4
PII:
S 0002-9947(06)03930-4
Received by editor(s):
September 23, 2004
Posted:
July 20, 2006
Dedicated:
Dedicated to Volker Enss on the occasion of his 60th birthday
Copyright of article:
Copyright
2006,
V. Kostrykin, K. A. Makarov, A. K. Motovilov
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