On One Class of Almost Bounded Perturbations of Smooth Restrictions of a Closed Operator
We investigate one class of perturbations of a closed densely-defined operator in a Hilbert space. These perturbations change the domain of definition of the operator. We prove that the perturbed operator S is closed and densely defined. We construct the adjoint operator S*.
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| Дата: | 2002 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Українська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2002
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/4177 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510310560956416 |
|---|---|
| author | Storozh, O. G. Shuvar, O. B. Сторож, О. Г. Шувар, О. Б. |
| author_facet | Storozh, O. G. Shuvar, O. B. Сторож, О. Г. Шувар, О. Б. |
| author_sort | Storozh, O. G. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:23:51Z |
| description | We investigate one class of perturbations of a closed densely-defined operator in a Hilbert space. These perturbations change the domain of definition of the operator. We prove that the perturbed operator S is closed and densely defined. We construct the adjoint operator S*. |
| first_indexed | 2026-03-24T02:54:58Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4177 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:54:58Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/ab/a62bbd4386084ef208787f1501c2f9ab.pdf |
| spelling | umjimathkievua-article-41772020-03-18T20:23:51Z On One Class of Almost Bounded Perturbations of Smooth Restrictions of a Closed Operator Про один клас майже обмежених збурень гладких звужень замкненого оператора Storozh, O. G. Shuvar, O. B. Сторож, О. Г. Шувар, О. Б. We investigate one class of perturbations of a closed densely-defined operator in a Hilbert space. These perturbations change the domain of definition of the operator. We prove that the perturbed operator S is closed and densely defined. We construct the adjoint operator S*. Досліджується один клас збурень замкненого щільно визначеного оператора в гільбертовому просторі. Ці збурення змінюють область визначення оператора. Доведено, що збурений оператор S є замкненим та щільно визначеним. Побудовано спряжений оператор S*. Institute of Mathematics, NAS of Ukraine 2002-10-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4177 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 10 (2002); 1396-1402 Український математичний журнал; Том 54 № 10 (2002); 1396-1402 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4177/5063 https://umj.imath.kiev.ua/index.php/umj/article/view/4177/5064 Copyright (c) 2002 Storozh O. G.; Shuvar O. B. |
| spellingShingle | Storozh, O. G. Shuvar, O. B. Сторож, О. Г. Шувар, О. Б. On One Class of Almost Bounded Perturbations of Smooth Restrictions of a Closed Operator |
| title | On One Class of Almost Bounded Perturbations of Smooth Restrictions of a Closed Operator |
| title_alt | Про один клас майже обмежених збурень гладких звужень
замкненого оператора |
| title_full | On One Class of Almost Bounded Perturbations of Smooth Restrictions of a Closed Operator |
| title_fullStr | On One Class of Almost Bounded Perturbations of Smooth Restrictions of a Closed Operator |
| title_full_unstemmed | On One Class of Almost Bounded Perturbations of Smooth Restrictions of a Closed Operator |
| title_short | On One Class of Almost Bounded Perturbations of Smooth Restrictions of a Closed Operator |
| title_sort | on one class of almost bounded perturbations of smooth restrictions of a closed operator |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4177 |
| work_keys_str_mv | AT storozhog ononeclassofalmostboundedperturbationsofsmoothrestrictionsofaclosedoperator AT shuvarob ononeclassofalmostboundedperturbationsofsmoothrestrictionsofaclosedoperator AT storožog ononeclassofalmostboundedperturbationsofsmoothrestrictionsofaclosedoperator AT šuvarob ononeclassofalmostboundedperturbationsofsmoothrestrictionsofaclosedoperator AT storozhog proodinklasmajžeobmeženihzburenʹgladkihzvuženʹzamknenogooperatora AT shuvarob proodinklasmajžeobmeženihzburenʹgladkihzvuženʹzamknenogooperatora AT storožog proodinklasmajžeobmeženihzburenʹgladkihzvuženʹzamknenogooperatora AT šuvarob proodinklasmajžeobmeženihzburenʹgladkihzvuženʹzamknenogooperatora |