On the formula of generalized resolvents of a non-densely defined Hermitian operator
The Weyl function and the prohibited lineal, corresponding to a given space of boundary values of a nondensely defined Hermitian operator, are introduced and investigated. The prohibited lineal is characterized in terms of the limiting values of the Weyl function. An analogue of M. G. Krein'...
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| Date: | 1992 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8192 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512973618937856 |
|---|---|
| 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 | 2024-02-26T13:57:58Z |
| description | The Weyl function and the prohibited lineal, corresponding to a given space of boundary values of a nondensely defined Hermitian operator, are introduced and investigated. The prohibited lineal is characterized in terms of the limiting values of the Weyl function. An analogue of M. G. Krein's formula for the resolvent is obtained and its connection with the space of boundary values is found. |
| first_indexed | 2026-03-24T03:37:18Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8192 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:37:18Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/08/7795cffc49e314b7bf430c8db7f59908.pdf |
| spelling | umjimathkievua-article-81922024-02-26T13:57:58Z On the formula of generalized resolvents of a non-densely defined Hermitian operator О формуле обобщенных резольвент неплотно заданного эрмитова оператора Malamud , M. M. Маламуд , М. М. The Weyl function and the prohibited lineal, corresponding to a given space of boundary values of a nondensely defined Hermitian operator, are introduced and investigated. The prohibited lineal is characterized in terms of the limiting values of the Weyl function. An analogue of M. G. Krein's formula for the resolvent is obtained and its connection with the space of boundary values is found. Вводятся и изучаются функция Вейля и запретный линеал, соответствующие заданному пространству граничных значений неплотно заданного эрмитова оператора. Запретный линеал охарактеризован в терминах предельных значений функции Вейля. Получен аналог формулы М. Г. Крейна для резольвент и найдена ее связь с пространством граничных' значений. Вводяться та вивчаються функція Вейля та заборонений лінеал, відповідні до заданого простору граничних значень нещільно заданого ермітова оператора. Заборонений лінеал охарактеризовано у термінах граничних значень функції Вейля. Одержано аналог формули М. Г. Крейна для резольвент та знайдено її зв’язок з простором граничних значень. Institute of Mathematics, NAS of Ukraine 1992-12-04 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8192 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 12 (1992); 1658-1688 Український математичний журнал; Том 44 № 12 (1992); 1658-1688 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8192/9715 Copyright (c) 1992 M. M. Malamud |
| spellingShingle | Malamud , M. M. Маламуд , М. М. On the formula of generalized resolvents of a non-densely defined Hermitian operator |
| title | On the formula of generalized resolvents of a non-densely defined Hermitian operator |
| title_alt | О формуле обобщенных резольвент неплотно заданного эрмитова оператора |
| title_full | On the formula of generalized resolvents of a non-densely defined Hermitian operator |
| title_fullStr | On the formula of generalized resolvents of a non-densely defined Hermitian operator |
| title_full_unstemmed | On the formula of generalized resolvents of a non-densely defined Hermitian operator |
| title_short | On the formula of generalized resolvents of a non-densely defined Hermitian operator |
| title_sort | on the formula of generalized resolvents of a non-densely defined hermitian operator |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8192 |
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