Estimation of eigenvalues of self-adjoint operators
Estimates of the number of eigenvalues are obtained for perturbations of certain selfadjoint and unitary operators in a Hilbert space. As a special case, we consider a perturbation of the operator of multiplication by an independent variable in $L_2(\mathbb{R})$ and $L_2(0, 1)$.
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| Date: | 1994 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1994
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5725 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511949744242688 |
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| author | Yavorskii, Yu. M. Яворський, Ю. М. |
| author_facet | Yavorskii, Yu. M. Яворський, Ю. М. |
| author_sort | Yavorskii, Yu. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:16:22Z |
| description | Estimates of the number of eigenvalues are obtained for perturbations of certain selfadjoint and unitary operators in a Hilbert space.
As a special case, we consider a perturbation of the operator of multiplication by an independent variable in $L_2(\mathbb{R})$ and $L_2(0, 1)$. |
| first_indexed | 2026-03-24T03:21:01Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5725 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:21:01Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/4e/a646296741c0416404cf1d7a64dc7b4e.pdf |
| spelling | umjimathkievua-article-57252020-03-19T09:16:22Z Estimation of eigenvalues of self-adjoint operators Про оцінку власних значень деяких самоспряжеиих операторів Yavorskii, Yu. M. Яворський, Ю. М. Estimates of the number of eigenvalues are obtained for perturbations of certain selfadjoint and unitary operators in a Hilbert space. As a special case, we consider a perturbation of the operator of multiplication by an independent variable in $L_2(\mathbb{R})$ and $L_2(0, 1)$. Одержані оцінки числа власних значень збурень деяких самоспряжених і унітарних операторів в гільбертовому просторі. Зокрема, розглядається збурення оператора множення на незалежну змінну в $L_2(\mathbb{R})$ і $L_2(0, 1)$. Institute of Mathematics, NAS of Ukraine 1994-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5725 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 5 (1994); 642–648 Український математичний журнал; Том 46 № 5 (1994); 642–648 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5725/8135 https://umj.imath.kiev.ua/index.php/umj/article/view/5725/8136 Copyright (c) 1994 Yavorskii Yu. M. |
| spellingShingle | Yavorskii, Yu. M. Яворський, Ю. М. Estimation of eigenvalues of self-adjoint operators |
| title | Estimation of eigenvalues of self-adjoint operators |
| title_alt | Про оцінку власних значень деяких самоспряжеиих операторів |
| title_full | Estimation of eigenvalues of self-adjoint operators |
| title_fullStr | Estimation of eigenvalues of self-adjoint operators |
| title_full_unstemmed | Estimation of eigenvalues of self-adjoint operators |
| title_short | Estimation of eigenvalues of self-adjoint operators |
| title_sort | estimation of eigenvalues of self-adjoint operators |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5725 |
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