New aspects of Krein's extension theory
The extension problem for closed symmetric operators with a gap is studied. A new kind of parametrization of extensions (the so-called Krein model) is developed. The notion of a singular operator plays the key role in our approach. We give the explicit description of extensions and establish the sp...
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| Date: | 1994 |
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| Main Authors: | , , , , , |
| Format: | Article |
| Language: | English |
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Institute of Mathematics, NAS of Ukraine
1994
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5768 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511992866930688 |
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| author | Brasche, J. F. Koshmanenko, V. D. Neidhardt, H. Браш, Дж. Ф. Кошманенко, В. Д. Нейдхардт, Х. |
| author_facet | Brasche, J. F. Koshmanenko, V. D. Neidhardt, H. Браш, Дж. Ф. Кошманенко, В. Д. Нейдхардт, Х. |
| author_sort | Brasche, J. F. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:17:37Z |
| description | The extension problem for closed symmetric operators with a gap is studied. A new kind of parametrization of extensions (the so-called Krein model) is developed.
The notion of a singular operator plays the key role in our approach. We give the explicit description of extensions and establish the spectral properties of extended operators. |
| first_indexed | 2026-03-24T03:21:42Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5768 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:21:42Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/1d/d03c4f64eaa4458941bbaffda335d11d.pdf |
| spelling | umjimathkievua-article-57682020-03-19T09:17:37Z New aspects of Krein's extension theory Деякі нові аспекти теорії розширень Крейна Brasche, J. F. Koshmanenko, V. D. Neidhardt, H. Браш, Дж. Ф. Кошманенко, В. Д. Нейдхардт, Х. The extension problem for closed symmetric operators with a gap is studied. A new kind of parametrization of extensions (the so-called Krein model) is developed. The notion of a singular operator plays the key role in our approach. We give the explicit description of extensions and establish the spectral properties of extended operators. Досліджується проблема розширень замкнених симетричних операторів із щілиною в спектрі. Розвинуто новий спосіб параметризації розширень (так звана модель Крейна). Ключову роль у нашому підході відіграє поняття сингулярного оператора. Дано явний опис розширень і встановлені спектральні властивості розширених операторів. Institute of Mathematics, NAS of Ukraine 1994-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5768 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 1-2 (1994); 37–54 Український математичний журнал; Том 46 № 1-2 (1994); 37–54 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/5768/8220 https://umj.imath.kiev.ua/index.php/umj/article/view/5768/8221 Copyright (c) 1994 Brasche J. F.; Koshmanenko V. D.; Neidhardt H. |
| spellingShingle | Brasche, J. F. Koshmanenko, V. D. Neidhardt, H. Браш, Дж. Ф. Кошманенко, В. Д. Нейдхардт, Х. New aspects of Krein's extension theory |
| title | New aspects of Krein's extension theory |
| title_alt | Деякі нові аспекти теорії розширень Крейна |
| title_full | New aspects of Krein's extension theory |
| title_fullStr | New aspects of Krein's extension theory |
| title_full_unstemmed | New aspects of Krein's extension theory |
| title_short | New aspects of Krein's extension theory |
| title_sort | new aspects of krein's extension theory |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5768 |
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