Certain classes for expansions of the Hermitian operator with gaps
Certain classes of extensions of a lacunary Hermitian operator are described in terms of abstract boundary conditions. The connection between the asymptotic behavior of eigenvalues of an extension near the boundary of lacuna and the asymptotic of the negative spectrum of the corresponding boundary o...
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| Datum: | 1992 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/7836 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512781629915136 |
|---|---|
| author | Malamud , M. M. Маламуд , М. М. |
| author_facet | Malamud , M. M. Маламуд , М. М. |
| author_sort | Malamud , M. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-09-27T12:27:08Z |
| description | Certain classes of extensions of a lacunary Hermitian operator are described in terms of abstract boundary conditions. The connection between the asymptotic behavior of eigenvalues of an extension near the boundary of lacuna and the asymptotic of the negative spectrum of the corresponding boundary operator is found. |
| first_indexed | 2026-03-24T03:34:15Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-7836 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:34:15Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/63/72e866de6b71e5248574977ef64e7663.pdf |
| spelling | umjimathkievua-article-78362023-09-27T12:27:08Z Certain classes for expansions of the Hermitian operator with gaps О некоторых классах расширений эрмитова оператора с лакунами Malamud , M. M. Маламуд , М. М. Certain classes of extensions of a lacunary Hermitian operator are described in terms of abstract boundary conditions. The connection between the asymptotic behavior of eigenvalues of an extension near the boundary of lacuna and the asymptotic of the negative spectrum of the corresponding boundary operator is found. В терминах абстрактных граничных условий описываются некоторые классы расширений эрмитова оператора с лакунами. Найдена связь между асимптотическим поведением собственных значений расширения у краев лакуны и асимптотикой отрицательного спектра соответствующего граничного оператора. У термінах абстрактних граничних умов описуються деякі класи розширень ермітового оператора з лакунами. Знайдено зв’язок між асимптотичною поведінкою власних значень розширення біля країв лакуни та асимптотикою від’ємного спектра відповідного граничного оператора. Institute of Mathematics, NAS of Ukraine 1992-02-28 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/7836 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 2 (1992); 215-233 Український математичний журнал; Том 44 № 2 (1992); 215-233 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/7836/9485 Copyright (c) 1992 M. M. Malamud |
| spellingShingle | Malamud , M. M. Маламуд , М. М. Certain classes for expansions of the Hermitian operator with gaps |
| title | Certain classes for expansions of the Hermitian operator with gaps |
| title_alt | О некоторых классах расширений эрмитова оператора с лакунами |
| title_full | Certain classes for expansions of the Hermitian operator with gaps |
| title_fullStr | Certain classes for expansions of the Hermitian operator with gaps |
| title_full_unstemmed | Certain classes for expansions of the Hermitian operator with gaps |
| title_short | Certain classes for expansions of the Hermitian operator with gaps |
| title_sort | certain classes for expansions of the hermitian operator with gaps |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7836 |
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