Analog of the Krein Formula for Resolvents of Normal Extensions of a Prenormal Operator
We prove a formula that relates resolvents of normal operators that are extensions of a certain prenormal operator. This formula is an analog of the Krein formula for resolvents of self-adjoint extensions of a symmetric operator. We describe properties of the defect subspaces of a prenormal operator...
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| Date: | 2002 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2002
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4092 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510224513761280 |
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| author | Dudkin, M. Ye. Дудкін, М. Є. |
| author_facet | Dudkin, M. Ye. Дудкін, М. Є. |
| author_sort | Dudkin, M. Ye. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:22:24Z |
| description | We prove a formula that relates resolvents of normal operators that are extensions of a certain prenormal operator. This formula is an analog of the Krein formula for resolvents of self-adjoint extensions of a symmetric operator. We describe properties of the defect subspaces of a prenormal operator. |
| first_indexed | 2026-03-24T02:53:36Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4092 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:53:36Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/da/b86b7e8ce57675ee238771f590ed8bda.pdf |
| spelling | umjimathkievua-article-40922020-03-18T20:22:24Z Analog of the Krein Formula for Resolvents of Normal Extensions of a Prenormal Operator Аналог формули М. Г. Крейпа для резольвент нормальних розширень переднормальпого оператора Dudkin, M. Ye. Дудкін, М. Є. We prove a formula that relates resolvents of normal operators that are extensions of a certain prenormal operator. This formula is an analog of the Krein formula for resolvents of self-adjoint extensions of a symmetric operator. We describe properties of the defect subspaces of a prenormal operator. Доведено формулу, яка пов'язує резольвенти нормальних операторів, що є розширеннями деякого переднормального оператора. Ця формула є аналогом формули М. Г. Крейна для резольвент самоспряжених розширень симетричного оператора. Описано властивості дефектних під-просторів переднормального оператора. Institute of Mathematics, NAS of Ukraine 2002-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4092 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 4 (2002); 555-562 Український математичний журнал; Том 54 № 4 (2002); 555-562 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4092/4894 https://umj.imath.kiev.ua/index.php/umj/article/view/4092/4895 Copyright (c) 2002 Dudkin M. Ye. |
| spellingShingle | Dudkin, M. Ye. Дудкін, М. Є. Analog of the Krein Formula for Resolvents of Normal Extensions of a Prenormal Operator |
| title | Analog of the Krein Formula for Resolvents of Normal Extensions of a Prenormal Operator |
| title_alt | Аналог формули М. Г. Крейпа для резольвент нормальних розширень
переднормальпого оператора |
| title_full | Analog of the Krein Formula for Resolvents of Normal Extensions of a Prenormal Operator |
| title_fullStr | Analog of the Krein Formula for Resolvents of Normal Extensions of a Prenormal Operator |
| title_full_unstemmed | Analog of the Krein Formula for Resolvents of Normal Extensions of a Prenormal Operator |
| title_short | Analog of the Krein Formula for Resolvents of Normal Extensions of a Prenormal Operator |
| title_sort | analog of the krein formula for resolvents of normal extensions of a prenormal operator |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4092 |
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