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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2023, Volume 510, Pages 39–42
DOI: https://doi.org/10.31857/S2686954323700145 (Mi danma378) 		 
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
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DOI: https://doi.org/10.31857/S2686954323700145
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.
Funding agency Grant number
Russian Science Foundation 20-11-20261
This work was supported by the Russian Science Foundation, project no. 20-11-20261.
Presented: I. A. Taimanov
Received: 31.03.2023
Revised: 23.04.2023
Accepted: 29.04.2023
English version:
Doklady Mathematics, 2023, Volume 107, Issue 2, Pages 117–119
DOI: https://doi.org/10.1134/S1064562423700734
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
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
Citation in format AMSBIB
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\by S.~N.~Tumanov
\paper On one condition for the discreteness of the spectrum and the compactness of the resolvent of a nonsectorial Sturm--Liouville operator on the semiaxis
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2023
\vol 510
\pages 39--42
\mathnet{http://mi.mathnet.ru/danma378}
\crossref{https://doi.org/10.31857/S2686954323700145}
\elib{https://elibrary.ru/item.asp?id=53986710}
\transl
\jour Dokl. Math.
\yr 2023
\vol 107
\issue 2
\pages 117--119
\crossref{https://doi.org/10.1134/S1064562423700734}
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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