On the order of convergence of a semigroup to the identity operator
We describe classes of vectors f from a Hilbert space H for which the quantity ‖T(t)f−f‖, where T(t)=e −tA , t≥0, and A is a self-adjoint nonnegative operator in H, has a certain order of convergence to zero as t→+0.
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| Дата: | 1996 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Українська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1996
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5285 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511502257094656 |
|---|---|
| author | Hrushka, Ya. I. Грушка, Я. І. |
| author_facet | Hrushka, Ya. I. Грушка, Я. І. |
| author_sort | Hrushka, Ya. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:29:27Z |
| description | We describe classes of vectors f from a Hilbert space H for which the quantity ‖T(t)f−f‖, where T(t)=e −tA , t≥0, and A is a self-adjoint nonnegative operator in H, has a certain order of convergence to zero as t→+0. |
| first_indexed | 2026-03-24T03:13:55Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5285 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:13:55Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/43/69741cf57e5a75d9d19af034bee80643.pdf |
| spelling | umjimathkievua-article-52852020-03-18T21:29:27Z On the order of convergence of a semigroup to the identity operator Про порядок прямування півгрупи до одиничного оператора Hrushka, Ya. I. Грушка, Я. І. We describe classes of vectors f from a Hilbert space H for which the quantity ‖T(t)f−f‖, where T(t)=e −tA , t≥0, and A is a self-adjoint nonnegative operator in H, has a certain order of convergence to zero as t→+0. Описуються класи векторів $f$ з гільбертового простору $H$, для яких величина $‖T(t)f−f‖$ при $ t→+0$ має певний порядок прямування до нуля, де $T(t)=e^{−tA},\; t ≥ 0$ і $A$ — самоспряжений, невід'ємний оператор в $H$. Institute of Mathematics, NAS of Ukraine 1996-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5285 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 6 (1996); 847-851 Український математичний журнал; Том 48 № 6 (1996); 847-851 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5285/7262 https://umj.imath.kiev.ua/index.php/umj/article/view/5285/7263 Copyright (c) 1996 Hrushka Ya. I. |
| spellingShingle | Hrushka, Ya. I. Грушка, Я. І. On the order of convergence of a semigroup to the identity operator |
| title | On the order of convergence of a semigroup to the identity operator |
| title_alt | Про порядок прямування півгрупи до одиничного оператора |
| title_full | On the order of convergence of a semigroup to the identity operator |
| title_fullStr | On the order of convergence of a semigroup to the identity operator |
| title_full_unstemmed | On the order of convergence of a semigroup to the identity operator |
| title_short | On the order of convergence of a semigroup to the identity operator |
| title_sort | on the order of convergence of a semigroup to the identity operator |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5285 |
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