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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 247, Pages 237–241
(Mi znsl573)
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Discrete spectrum in the spectral gaps of a selfadjoint operator for unbounded perturbations
V. A. Sloushch Saint-Petersburg State University
Abstract:
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.
Received: 15.03.1997
Citation:
V. A. Sloushch, “Discrete spectrum in the spectral gaps of a selfadjoint operator for unbounded perturbations”, Investigations on linear operators and function theory. Part 25, Zap. Nauchn. Sem. POMI, 247, POMI, St. Petersburg, 1997, 237–241; J. Math. Sci. (New York), 101:3 (2000), 3190–3192
Linking options:
https://www.mathnet.ru/eng/znsl573 https://www.mathnet.ru/eng/znsl/v247/p237
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Abstract page: | 174 | Full-text PDF : | 86 |
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