Concerning the theory of operator averages
New properties of operator connections and means are established. Specifically, representations of an arbitrary connection by means of a concave representing function, an estimate of the norm of a connection in a von Neumann-Schatten ideal, a relation between operator means and convolutions onto ope...
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| Datum: | 1990 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1990
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/8828 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513313204469760 |
|---|---|
| author | Arlinsky, Yu. М. Арлинский, Ю. М. |
| author_facet | Arlinsky, Yu. М. Арлинский, Ю. М. |
| author_sort | Arlinsky, Yu. М. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-11-14T10:10:56Z |
| description | New properties of operator connections and means are established. Specifically, representations of an arbitrary connection by means of a concave representing function, an estimate of the norm of a connection in a von Neumann-Schatten ideal, a relation between operator means and convolutions onto operator domains are obtained. |
| first_indexed | 2026-03-24T03:42:42Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8828 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:42:42Z |
| publishDate | 1990 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/26/762306bd24173dcf5cd9966d6e57ee26.pdf |
| spelling | umjimathkievua-article-88282024-11-14T10:10:56Z Concerning the theory of operator averages К теории операторных средних Arlinsky, Yu. М. Арлинский, Ю. М. New properties of operator connections and means are established. Specifically, representations of an arbitrary connection by means of a concave representing function, an estimate of the norm of a connection in a von Neumann-Schatten ideal, a relation between operator means and convolutions onto operator domains are obtained. Установлены новые свойства операторных связен и средних. В частности, получены представлення произвольной связи через вогнутую представляющую функцию, оценка нормы связи в идеале Неймана — Шаттена, соотношение между операторными срсі ими и свертками на операторные области. Установлені нові властивості операторних зв'язків і середніх. Зокрема, одержані зображення довільного зв’язку через угнуту зображувальну функцію, оцінка норми зв’язку в ідеалі Неймана — Шаттена, співвідношення між операторними середніми та згортками на операторів області. Institute of Mathematics, NAS of Ukraine 1990-06-19 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8828 Ukrains’kyi Matematychnyi Zhurnal; Vol. 42 No. 6 (1990); 723-730 Український математичний журнал; Том 42 № 6 (1990); 723-730 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8828/10249 Copyright (c) 1990 Yu. М. Arlinsky |
| spellingShingle | Arlinsky, Yu. М. Арлинский, Ю. М. Concerning the theory of operator averages |
| title | Concerning the theory of operator averages |
| title_alt | К теории операторных средних |
| title_full | Concerning the theory of operator averages |
| title_fullStr | Concerning the theory of operator averages |
| title_full_unstemmed | Concerning the theory of operator averages |
| title_short | Concerning the theory of operator averages |
| title_sort | concerning the theory of operator averages |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8828 |
| work_keys_str_mv | AT arlinskyyum concerningthetheoryofoperatoraverages AT arlinskijûm concerningthetheoryofoperatoraverages AT arlinskyyum kteoriioperatornyhsrednih AT arlinskijûm kteoriioperatornyhsrednih |