Enviar artigo por via de e-mail ON ONE CONDITION FOR THE DISCRETENESS OF THE SPECTRUM AND THE COMPACTNESS OF THE RESOLVENT OF A NONSECTORIAL STURM–LIOUVILLE OPERATOR ON THE SEMIAXIS
- Autores: Tumanov S.N.1
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Afiliações:
- Moscow Center of Fundamental and Applied Mathematics, Lomonosov Moscow State University
- Edição: Volume 510 (2023)
- Páginas: 39-42
- Seção: MATHEMATICS
- URL: https://cardiosomatics.ru/2686-9543/article/view/647878
- DOI: https://doi.org/10.31857/S2686954323700145
- EDN: https://elibrary.ru/XJAIKI
- ID: 647878
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Resumo
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.
Sobre autores
S. Tumanov
Moscow Center of Fundamental and Applied Mathematics, Lomonosov Moscow State University
Autor responsável pela correspondência
Email: sntumanov@yandex.ru
Russian Federation, Moscow
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