On the Berezin number of operators on the reproducing kernel of Hilbert space and related questions
UDC 517.956 We obtain some new inequalities for the Berezin number of operators via the Cauchy–Schwarz-type inequalities. Some other related questions are also discussed.
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| Date: | 2024 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2024
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7330 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512652962299904 |
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| author | Yamancı, Ulaş Karlı, Ismail M. Yamancı, Ulaş Karlı, Ismail M. |
| author_facet | Yamancı, Ulaş Karlı, Ismail M. Yamancı, Ulaş Karlı, Ismail M. |
| author_sort | Yamancı, Ulaş |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-06-19T00:35:23Z |
| description | UDC 517.956
We obtain some new inequalities for the Berezin number of operators via the Cauchy–Schwarz-type inequalities. Some other related questions are also discussed. |
| doi_str_mv | 10.3842/umzh.v74i4.7330 |
| first_indexed | 2026-03-24T03:32:12Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-7330 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:32:12Z |
| publishDate | 2024 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-73302024-06-19T00:35:23Z On the Berezin number of operators on the reproducing kernel of Hilbert space and related questions On the Berezin number of operators on the reproducing kernel of Hilbert space and related questions Yamancı, Ulaş Karlı, Ismail M. Yamancı, Ulaş Karlı, Ismail M. Berezin number Berezin symbol Berezin norm reproducing kernel Hilbert space inequalities UDC 517.956 We obtain some new inequalities for the Berezin number of operators via the Cauchy–Schwarz-type inequalities. Some other related questions are also discussed. УДК 517.956 Про число Березіна операторів на відтворюючому  ядрі гільбертового простору та пов’язані питання За допомогою нерівностей типу Коші–Шварца отримано деякі нові нерівності для числа операторів в сенсі Березіна. Також обговорено деякі інші пов’язані питання. Institute of Mathematics, NAS of Ukraine 2024-04-26 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7330 10.3842/umzh.v74i4.7330 Ukrains’kyi Matematychnyi Zhurnal; Vol. 76 No. 4 (2024); 607 - 616 Український математичний журнал; Том 76 № 4 (2024); 607 - 616 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7330/9920 Copyright (c) 2024 ulas yamanci |
| spellingShingle | Yamancı, Ulaş Karlı, Ismail M. Yamancı, Ulaş Karlı, Ismail M. On the Berezin number of operators on the reproducing kernel of Hilbert space and related questions |
| title | On the Berezin number of operators on the reproducing kernel of Hilbert space and related questions |
| title_alt | On the Berezin number of operators on the reproducing kernel of Hilbert space and related questions |
| title_full | On the Berezin number of operators on the reproducing kernel of Hilbert space and related questions |
| title_fullStr | On the Berezin number of operators on the reproducing kernel of Hilbert space and related questions |
| title_full_unstemmed | On the Berezin number of operators on the reproducing kernel of Hilbert space and related questions |
| title_short | On the Berezin number of operators on the reproducing kernel of Hilbert space and related questions |
| title_sort | on the berezin number of operators on the reproducing kernel of hilbert space and related questions |
| topic_facet | Berezin number Berezin symbol Berezin norm reproducing kernel Hilbert space inequalities |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7330 |
| work_keys_str_mv | AT yamancıulas ontheberezinnumberofoperatorsonthereproducingkernelofhilbertspaceandrelatedquestions AT karlıismailm ontheberezinnumberofoperatorsonthereproducingkernelofhilbertspaceandrelatedquestions AT yamancıulas ontheberezinnumberofoperatorsonthereproducingkernelofhilbertspaceandrelatedquestions AT karlıismailm ontheberezinnumberofoperatorsonthereproducingkernelofhilbertspaceandrelatedquestions |