Representations of the additive group of a nuclear space in terms of self-adjoint operators
We prove theorems on integral representations of the additive group of a real nuclear space in terms of self-adjoint operators. We assume that algebraic relations are realized in a dense invariant set of integral vectors.
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| Дата: | 1999 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1999
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/4609 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510757060345856 |
|---|---|
| author | Lopotko, O. V. Лопотко, О. В. Лопотко, О. В. |
| author_facet | Lopotko, O. V. Лопотко, О. В. Лопотко, О. В. |
| author_sort | Lopotko, O. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:09:38Z |
| description | We prove theorems on integral representations of the additive group of a real nuclear space in terms of self-adjoint operators. We assume that algebraic relations are realized in a dense invariant set of integral vectors. |
| first_indexed | 2026-03-24T03:02:04Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4609 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:02:04Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/80/9d6a4424c8903755deb6b94c46d75180.pdf |
| spelling | umjimathkievua-article-46092020-03-18T21:09:38Z Representations of the additive group of a nuclear space in terms of self-adjoint operators Представления аддитивной группы ядерного пространства самосопряженными операторами Lopotko, O. V. Лопотко, О. В. Лопотко, О. В. We prove theorems on integral representations of the additive group of a real nuclear space in terms of self-adjoint operators. We assume that algebraic relations are realized in a dense invariant set of integral vectors. Доведено теореми про інтегральні зображення адитивної групи дійсного ядерного простору самоспряжеиими операторами. Припускається, що алгебраїчні співвідношення мають місце на щільній, інваріантній множині цілих векторів. Institute of Mathematics, NAS of Ukraine 1999-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4609 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 2 (1999); 271–274 Український математичний журнал; Том 51 № 2 (1999); 271–274 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4609/5921 https://umj.imath.kiev.ua/index.php/umj/article/view/4609/5922 Copyright (c) 1999 Lopotko O. V. |
| spellingShingle | Lopotko, O. V. Лопотко, О. В. Лопотко, О. В. Representations of the additive group of a nuclear space in terms of self-adjoint operators |
| title | Representations of the additive group of a nuclear space in terms of self-adjoint operators |
| title_alt | Представления аддитивной группы ядерного пространства самосопряженными операторами |
| title_full | Representations of the additive group of a nuclear space in terms of self-adjoint operators |
| title_fullStr | Representations of the additive group of a nuclear space in terms of self-adjoint operators |
| title_full_unstemmed | Representations of the additive group of a nuclear space in terms of self-adjoint operators |
| title_short | Representations of the additive group of a nuclear space in terms of self-adjoint operators |
| title_sort | representations of the additive group of a nuclear space in terms of self-adjoint operators |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4609 |
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