Quaternionic Davis–Wielandt shell in a right quaternionic Hilbert space
UDC 517.5 We derive some results concerning the quaternionic Davis–Wielandt shell for a bounded right linear operator in a right quaternionic Hilbert space.  The relations between  the geometric properties of the quaternionic Davis–Wielandt shells and the algeb...
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| Datum: | 2023 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Institute of Mathematics, NAS of Ukraine
2023
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/7146 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512613715148800 |
|---|---|
| author | Jeribi, Aref Mahfoudhi, Kamel Jeribi, Aref Mahfoudhi, Kamel |
| author_facet | Jeribi, Aref Mahfoudhi, Kamel Jeribi, Aref Mahfoudhi, Kamel |
| author_sort | Jeribi, Aref |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-07-02T07:08:17Z |
| description | UDC 517.5
We derive some results concerning the quaternionic Davis–Wielandt shell for a bounded right linear operator in a right quaternionic Hilbert space.  The relations between  the geometric properties of the quaternionic Davis–Wielandt shells and the algebraic properties of quaternionic operators are obtained. |
| doi_str_mv | 10.37863/umzh.v75i6.7146 |
| first_indexed | 2026-03-24T03:31:34Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-7146 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:31:34Z |
| publishDate | 2023 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-71462023-07-02T07:08:17Z Quaternionic Davis–Wielandt shell in a right quaternionic Hilbert space Quaternionic Davis–Wielandt shell in a right quaternionic Hilbert space Jeribi, Aref Mahfoudhi, Kamel Jeribi, Aref Mahfoudhi, Kamel Quaternions quaternionic Hilbert space Numerical range. UDC 517.5 We derive some results concerning the quaternionic Davis–Wielandt shell for a bounded right linear operator in a right quaternionic Hilbert space.  The relations between  the geometric properties of the quaternionic Davis–Wielandt shells and the algebraic properties of quaternionic operators are obtained. УДК 517.5 Кватерніонна оболонка Девіса–Віландта в правому кватерніонному гільбертовому просторі Oтримано деякі результати щодо кватерніонної оболонки Девіса–Віландта  для обмеженого правого лінійного оператора в правому кватерніонному гільбертовому просторі. Виведено співвідношення між  геометричними властивостями кватерніонних оболонок Девіса–Віландта та алгебраїчними  властивостями кватерніонних операторів.  Institute of Mathematics, NAS of Ukraine 2023-06-20 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7146 10.37863/umzh.v75i6.7146 Ukrains’kyi Matematychnyi Zhurnal; Vol. 75 No. 6 (2023); 784 - 792 Український математичний журнал; Том 75 № 6 (2023); 784 - 792 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7146/9762 Copyright (c) 2023 Kamel Mahfoudhi |
| spellingShingle | Jeribi, Aref Mahfoudhi, Kamel Jeribi, Aref Mahfoudhi, Kamel Quaternionic Davis–Wielandt shell in a right quaternionic Hilbert space |
| title | Quaternionic Davis–Wielandt shell in a right quaternionic Hilbert space |
| title_alt | Quaternionic Davis–Wielandt shell in a right quaternionic Hilbert space |
| title_full | Quaternionic Davis–Wielandt shell in a right quaternionic Hilbert space |
| title_fullStr | Quaternionic Davis–Wielandt shell in a right quaternionic Hilbert space |
| title_full_unstemmed | Quaternionic Davis–Wielandt shell in a right quaternionic Hilbert space |
| title_short | Quaternionic Davis–Wielandt shell in a right quaternionic Hilbert space |
| title_sort | quaternionic davis–wielandt shell in a right quaternionic hilbert space |
| topic_facet | Quaternions quaternionic Hilbert space Numerical range. |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7146 |
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