Correction to "Quaternionic Davis–Wielandt shell in a right quaternionic Hilbert space'', Ukrainian Mathematical Journal, vol. 75, No. 6, November, 2023 (Ukrainian original vol. 75, No. 6, June, 2023)
UDC 517.5 We correct a mistake made in the proof of Example 2.1. In fact $\langle T\phi,\phi\rangle_{\mathbb{H}}=0$ is not true in the case where $T=\begin{pmatrix} \mathbf{q} & 0 \\0 & -\mathbf{q}\\\end{pmatrix}.$
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| Дата: | 2026 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2026
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/9201 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513448925855744 |
|---|---|
| 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 | 2026-03-21T10:53:41Z |
| description | UDC 517.5
We correct a mistake made in the proof of Example 2.1. In fact $\langle T\phi,\phi\rangle_{\mathbb{H}}=0$ is not true in the case where $T=\begin{pmatrix} \mathbf{q} & 0 \\0 & -\mathbf{q}\\\end{pmatrix}.$ |
| doi_str_mv | 10.3842/umzh.v77i10.9201 |
| first_indexed | 2026-03-24T03:44:51Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-9201 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:44:51Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-92012026-03-21T10:53:41Z Correction to "Quaternionic Davis–Wielandt shell in a right quaternionic Hilbert space'', Ukrainian Mathematical Journal, vol. 75, No. 6, November, 2023 (Ukrainian original vol. 75, No. 6, June, 2023) Correction to "Quaternionic Davis–Wielandt shell in a right quaternionic Hilbert space'', Ukrainian Mathematical Journal, vol. 75, No. 6, November, 2023 (Ukrainian original vol. 75, No. 6, June, 2023) Jeribi, Aref Mahfoudhi, Kamel Jeribi, Aref Mahfoudhi, Kamel Quaternion quaternionic Hilbert space Numerical range 47A10 UDC 517.5 We correct a mistake made in the proof of Example 2.1. In fact $\langle T\phi,\phi\rangle_{\mathbb{H}}=0$ is not true in the case where $T=\begin{pmatrix} \mathbf{q} & 0 \\0 & -\mathbf{q}\\\end{pmatrix}.$ УДК 517.5 Виправлення до статті ,,Кватерніонна оболонка Девіса–Віландта в правому кватерніонному гільбертовому просторі'', Ukrainian Mathematical Journal, т. 75, № 6, листопад 2023 (оригінал українською: т. 75, № 6, червень 2023) Виправлено помилку в доведенні прикладу 2.1. Насправді рівність $\langle T\phi,\phi\rangle_{\mathbb{H}}=0$ не виконується у випадку, коли $T=\begin{pmatrix}\mathbf{q} & 0 \\0 & -\mathbf{q}\\\end{pmatrix}.$ Institute of Mathematics, NAS of Ukraine 2026-03-21 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/9201 10.3842/umzh.v77i10.9201 Ukrains’kyi Matematychnyi Zhurnal; Vol. 77 No. 10 (2025); 647–648 Український математичний журнал; Том 77 № 10 (2025); 647–648 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/9201/10572 Copyright (c) 2025 Aref Jeribi, Kamel Mahfoudhi |
| spellingShingle | Jeribi, Aref Mahfoudhi, Kamel Jeribi, Aref Mahfoudhi, Kamel Correction to "Quaternionic Davis–Wielandt shell in a right quaternionic Hilbert space'', Ukrainian Mathematical Journal, vol. 75, No. 6, November, 2023 (Ukrainian original vol. 75, No. 6, June, 2023) |
| title | Correction to "Quaternionic Davis–Wielandt shell in a right quaternionic Hilbert space'', Ukrainian Mathematical Journal, vol. 75, No. 6, November, 2023 (Ukrainian original vol. 75, No. 6, June, 2023) |
| title_alt | Correction to "Quaternionic Davis–Wielandt shell in a right quaternionic Hilbert space'', Ukrainian Mathematical Journal, vol. 75, No. 6, November, 2023 (Ukrainian original vol. 75, No. 6, June, 2023) |
| title_full | Correction to "Quaternionic Davis–Wielandt shell in a right quaternionic Hilbert space'', Ukrainian Mathematical Journal, vol. 75, No. 6, November, 2023 (Ukrainian original vol. 75, No. 6, June, 2023) |
| title_fullStr | Correction to "Quaternionic Davis–Wielandt shell in a right quaternionic Hilbert space'', Ukrainian Mathematical Journal, vol. 75, No. 6, November, 2023 (Ukrainian original vol. 75, No. 6, June, 2023) |
| title_full_unstemmed | Correction to "Quaternionic Davis–Wielandt shell in a right quaternionic Hilbert space'', Ukrainian Mathematical Journal, vol. 75, No. 6, November, 2023 (Ukrainian original vol. 75, No. 6, June, 2023) |
| title_short | Correction to "Quaternionic Davis–Wielandt shell in a right quaternionic Hilbert space'', Ukrainian Mathematical Journal, vol. 75, No. 6, November, 2023 (Ukrainian original vol. 75, No. 6, June, 2023) |
| title_sort | correction to "quaternionic davis–wielandt shell in a right quaternionic hilbert space'', ukrainian mathematical journal, vol. 75, no. 6, november, 2023 (ukrainian original vol. 75, no. 6, june, 2023) |
| topic_facet | Quaternion quaternionic Hilbert space Numerical range 47A10 |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/9201 |
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