On one generalization of the Berezanskii evolution criterion for the self-adjointness of operators
We describe all weak solutions of a first-order differential equation in a Banach space on (0, ∞) and investigate their behavior in the neighborhood of zero. We use the results obtained to establish necessary and sufficient conditions for the essential maximal dissipativity of a dissipative operator...
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| Date: | 2000 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian English |
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Institute of Mathematics, NAS of Ukraine
2000
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4455 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510582520676352 |
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| author | Gorbachuk, V. I. Gorbachuk, M. L. Горбачук, В. І. Горбачук, М. Л. |
| author_facet | Gorbachuk, V. I. Gorbachuk, M. L. Горбачук, В. І. Горбачук, М. Л. |
| author_sort | Gorbachuk, V. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:29:27Z |
| description | We describe all weak solutions of a first-order differential equation in a Banach space on (0, ∞) and investigate their behavior in the neighborhood of zero. We use the results obtained to establish necessary and sufficient conditions for the essential maximal dissipativity of a dissipative operator in a Hilbert space. |
| first_indexed | 2026-03-24T02:59:17Z |
| format | Article |
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| id | umjimathkievua-article-4455 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:59:17Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/6e/604c80024292e2509a385fb4defa506e.pdf |
| spelling | umjimathkievua-article-44552020-03-18T20:29:27Z On one generalization of the Berezanskii evolution criterion for the self-adjointness of operators Про одне узагальнення еволюційного критерію Березанського самоспряженості оператора Gorbachuk, V. I. Gorbachuk, M. L. Горбачук, В. І. Горбачук, М. Л. We describe all weak solutions of a first-order differential equation in a Banach space on (0, ∞) and investigate their behavior in the neighborhood of zero. We use the results obtained to establish necessary and sufficient conditions for the essential maximal dissipativity of a dissipative operator in a Hilbert space. Описуються всі слабкі розв'язки на (0, ∞) диференціального рівняння першого порядку в банаховому просторі та вивчається їх поведінка в околі нуля. Результати застосовуються для встановлення необхідних і достатніх умов істотної максимальної дисипативності дисипативного оператора у гільбертовому просторі. Institute of Mathematics, NAS of Ukraine 2000-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4455 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 5 (2000); 608-615 Український математичний журнал; Том 52 № 5 (2000); 608-615 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4455/5614 https://umj.imath.kiev.ua/index.php/umj/article/view/4455/5615 Copyright (c) 2000 Gorbachuk V. I.; Gorbachuk M. L. |
| spellingShingle | Gorbachuk, V. I. Gorbachuk, M. L. Горбачук, В. І. Горбачук, М. Л. On one generalization of the Berezanskii evolution criterion for the self-adjointness of operators |
| title | On one generalization of the Berezanskii evolution criterion for the self-adjointness of operators |
| title_alt | Про одне узагальнення еволюційного критерію Березанського самоспряженості оператора |
| title_full | On one generalization of the Berezanskii evolution criterion for the self-adjointness of operators |
| title_fullStr | On one generalization of the Berezanskii evolution criterion for the self-adjointness of operators |
| title_full_unstemmed | On one generalization of the Berezanskii evolution criterion for the self-adjointness of operators |
| title_short | On one generalization of the Berezanskii evolution criterion for the self-adjointness of operators |
| title_sort | on one generalization of the berezanskii evolution criterion for the self-adjointness of operators |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4455 |
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