Space boundary values and correct expansions of the Hermitian operators
The concept of space of boundary values (SBV) is extended to the case of Hermitian, non-densely defined operators with distinct defect numbers. The properties of such SBV are investigated. The obtained results are applied to the investigation of regular (in particular, dissipative) extensions of Her...
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| Date: | 1990 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1990
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8853 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513336890753024 |
|---|---|
| author | Kuzhel, S. A. Кужель, С. А. |
| author_facet | Kuzhel, S. A. Кужель, С. А. |
| author_sort | Kuzhel, S. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-11-14T10:10:56Z |
| description | The concept of space of boundary values (SBV) is extended to the case of Hermitian, non-densely defined operators with distinct defect numbers. The properties of such SBV are investigated. The obtained results are applied to the investigation of regular (in particular, dissipative) extensions of Hermitian operators of the indicated form. |
| first_indexed | 2026-03-24T03:43:04Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8853 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:43:04Z |
| publishDate | 1990 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/a2/28d06443f1835386bdd7c11921eb1da2.pdf |
| spelling | umjimathkievua-article-88532024-11-14T10:10:56Z Space boundary values and correct expansions of the Hermitian operators О пространствах граничных значений и правильных расширениях эрмитовых операторов Kuzhel, S. A. Кужель, С. А. The concept of space of boundary values (SBV) is extended to the case of Hermitian, non-densely defined operators with distinct defect numbers. The properties of such SBV are investigated. The obtained results are applied to the investigation of regular (in particular, dissipative) extensions of Hermitian operators of the indicated form. Понятие пространства граничных значений (п. г. з.) распространяется на случай эрмитовых неплотно заданных операторов с различными дефектными числами. Изучаются свойства таких п. г. з. Полученные результаты применяются для исследования правильных (в частности, диссипативных) расширений эрмитовых операторов указанного вила. Поняття простору граничних значень (п. г. з.) поширюється на випадок ермітових нещільно заданих операторів з різними дефектними числами. Вивчаються властивості таких п. г. з. Отримані результати застосовуються при дослідженні правильних (зокрема, дисипативних) розширень ермітових операторів указаного вигляду. Institute of Mathematics, NAS of Ukraine 1990-06-19 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8853 Ukrains’kyi Matematychnyi Zhurnal; Vol. 42 No. 6 (1990); 854-858 Український математичний журнал; Том 42 № 6 (1990); 854-858 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8853/10273 Copyright (c) 1990 S. A. Kuzhel |
| spellingShingle | Kuzhel, S. A. Кужель, С. А. Space boundary values and correct expansions of the Hermitian operators |
| title | Space boundary values and correct expansions of the Hermitian operators |
| title_alt | О пространствах граничных значений и правильных расширениях эрмитовых операторов |
| title_full | Space boundary values and correct expansions of the Hermitian operators |
| title_fullStr | Space boundary values and correct expansions of the Hermitian operators |
| title_full_unstemmed | Space boundary values and correct expansions of the Hermitian operators |
| title_short | Space boundary values and correct expansions of the Hermitian operators |
| title_sort | space boundary values and correct expansions of the hermitian operators |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8853 |
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