Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 25, Tome 247 (1997), pp. 237-241
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V. A. Sloushch. Discrete spectrum in the spectral gaps of a selfadjoint operator for unbounded perturbations. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 25, Tome 247 (1997), pp. 237-241. http://geodesic.mathdoc.fr/item/ZNSL_1997_247_a14/
@article{ZNSL_1997_247_a14,
author = {V. A. Sloushch},
title = {Discrete spectrum in the spectral gaps of a~selfadjoint operator for unbounded perturbations},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {237--241},
year = {1997},
volume = {247},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_247_a14/}
}
TY - JOUR
AU - V. A. Sloushch
TI - Discrete spectrum in the spectral gaps of a selfadjoint operator for unbounded perturbations
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1997
SP - 237
EP - 241
VL - 247
UR - http://geodesic.mathdoc.fr/item/ZNSL_1997_247_a14/
LA - ru
ID - ZNSL_1997_247_a14
ER -
%0 Journal Article
%A V. A. Sloushch
%T Discrete spectrum in the spectral gaps of a selfadjoint operator for unbounded perturbations
%J Zapiski Nauchnykh Seminarov POMI
%D 1997
%P 237-241
%V 247
%U http://geodesic.mathdoc.fr/item/ZNSL_1997_247_a14/
%G ru
%F ZNSL_1997_247_a14
Let $A$ be a selfadjoint operator, $(\alpha,\beta)$ a gap in the spectrum of $A$, $B=A+V$, where, in general, the perturbation operator $V$ is unbounded. We establish some abstract conditions under which the spectrum of $B$ on $(\alpha,\beta)$ is discrete; does not accumulate to $\beta$; is finite. An estimate of the number of the eigenvalues of $B$ on $(\alpha,\beta)$ is obtained.
