On the existence of a measurable function with given values of the best approximations in $L_0$
In the space of convergence in measure, we study the Bernstein problem of existence of a function with given values of the best approximations by a system of finite-dimensional subspaces strictly imbedded in one another.
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| Date: | 1996 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1996
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5251 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511468684836864 |
|---|---|
| author | Pichugov, S. A. Пичугов, С. А. Пичугов, С. А. |
| author_facet | Pichugov, S. A. Пичугов, С. А. Пичугов, С. А. |
| author_sort | Pichugov, S. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:28:48Z |
| description | In the space of convergence in measure, we study the Bernstein problem of existence of a function with given values of the best approximations by a system of finite-dimensional subspaces strictly imbedded in one another. |
| first_indexed | 2026-03-24T03:13:23Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5251 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:13:23Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/56/a1e6f6de5dfc65337804198968a1f556.pdf |
| spelling | umjimathkievua-article-52512020-03-18T21:28:48Z On the existence of a measurable function with given values of the best approximations in $L_0$ Существование измеримой функции с заданными значениями наилучших приближений в $L_0$ Pichugov, S. A. Пичугов, С. А. Пичугов, С. А. In the space of convergence in measure, we study the Bernstein problem of existence of a function with given values of the best approximations by a system of finite-dimensional subspaces strictly imbedded in one another. У просторі збіжності за мірою досліджується задача С. Н. Бернштейна про існування функції з заданими значениями найкращих наближень системою строго вкладених один в один скінченновимірних підпросторів. Institute of Mathematics, NAS of Ukraine 1996-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5251 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 8 (1996); 1080-1085 Український математичний журнал; Том 48 № 8 (1996); 1080-1085 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5251/7195 https://umj.imath.kiev.ua/index.php/umj/article/view/5251/7196 Copyright (c) 1996 Pichugov S. A. |
| spellingShingle | Pichugov, S. A. Пичугов, С. А. Пичугов, С. А. On the existence of a measurable function with given values of the best approximations in $L_0$ |
| title | On the existence of a measurable function with given values of the best approximations in $L_0$ |
| title_alt | Существование измеримой функции с заданными значениями наилучших приближений в $L_0$ |
| title_full | On the existence of a measurable function with given values of the best approximations in $L_0$ |
| title_fullStr | On the existence of a measurable function with given values of the best approximations in $L_0$ |
| title_full_unstemmed | On the existence of a measurable function with given values of the best approximations in $L_0$ |
| title_short | On the existence of a measurable function with given values of the best approximations in $L_0$ |
| title_sort | on the existence of a measurable function with given values of the best approximations in $l_0$ |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5251 |
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