Generalization of the Lidskii theorem on the localization of the spectrum of a product of Hermitian operators
We consider productsC=AB of Hermitian operators in ann-dimensional unitary space. Two equivalent localization theorems are proved in the case where one of the factorsA andB is positive definite.
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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/4687 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510846785945600 |
|---|---|
| author | Shvartsman, P. A. Шварцман, П. А. Шварцман, П. А. |
| author_facet | Shvartsman, P. A. Шварцман, П. А. Шварцман, П. А. |
| author_sort | Shvartsman, P. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:11:21Z |
| description | We consider productsC=AB of Hermitian operators in ann-dimensional unitary space. Two equivalent localization theorems are proved in the case where one of the factorsA andB is positive definite. |
| first_indexed | 2026-03-24T03:03:29Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4687 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:03:29Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/21/c582e0581b6f817d273ef0f9c176b721.pdf |
| spelling | umjimathkievua-article-46872020-03-18T21:11:21Z Generalization of the Lidskii theorem on the localization of the spectrum of a product of Hermitian operators Обобщение теоремы Лидского о локализации спектра произведения эрмитовых операторов Shvartsman, P. A. Шварцман, П. А. Шварцман, П. А. We consider productsC=AB of Hermitian operators in ann-dimensional unitary space. Two equivalent localization theorems are proved in the case where one of the factorsA andB is positive definite. Розглядаються добутки $C = AB$ ермітових операторів у $n$-вимірному унітарному просторі. Доведено дві еквівалентні локалізаційні теореми у випадку, коли один із співмножників $A$ чи $B$ є додатно визначеним. Institute of Mathematics, NAS of Ukraine 1999-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4687 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 7 (1999); 980–988 Український математичний журнал; Том 51 № 7 (1999); 980–988 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4687/6076 https://umj.imath.kiev.ua/index.php/umj/article/view/4687/6077 Copyright (c) 1999 Shvartsman P. A. |
| spellingShingle | Shvartsman, P. A. Шварцман, П. А. Шварцман, П. А. Generalization of the Lidskii theorem on the localization of the spectrum of a product of Hermitian operators |
| title | Generalization of the Lidskii theorem on the localization of the spectrum of a product of Hermitian operators |
| title_alt | Обобщение теоремы Лидского о локализации спектра произведения
эрмитовых операторов |
| title_full | Generalization of the Lidskii theorem on the localization of the spectrum of a product of Hermitian operators |
| title_fullStr | Generalization of the Lidskii theorem on the localization of the spectrum of a product of Hermitian operators |
| title_full_unstemmed | Generalization of the Lidskii theorem on the localization of the spectrum of a product of Hermitian operators |
| title_short | Generalization of the Lidskii theorem on the localization of the spectrum of a product of Hermitian operators |
| title_sort | generalization of the lidskii theorem on the localization of the spectrum of a product of hermitian operators |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4687 |
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