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This article is cited in 1 scientific paper (total in 1 paper)
MATHEMATICS
On one condition for the discreteness of the spectrum and the compactness of the resolvent of a nonsectorial Sturm–Liouville operator on the semiaxis
S. N. Tumanov Moscow Center for Fundamental and Applied Mathematics, Moscow, Russia
Abstract:
The spectral properties of the Sturm–Liouville operator on the semi-axis with the complex-valued potential with the range exceeding the half-plane, has been little studied. The operator in this case can be non-sectorial, the numerical range can coincide with the entire complex plane. In this situation we propose the conditions ensuring the discreteness of the spectrum and the compactness of the resolvent.
Citation:
S. N. Tumanov, “On one condition for the discreteness of the spectrum and the compactness of the resolvent of a nonsectorial Sturm–Liouville operator on the semiaxis”, Dokl. RAN. Math. Inf. Proc. Upr., 510 (2023), 39–42; Dokl. Math., 107:2 (2023), 117–119
Linking options:
https://www.mathnet.ru/eng/danma378 https://www.mathnet.ru/eng/danma/v510/p39
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Abstract page: | 94 | References: | 28 |
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