The Case Where the Sum of Three Partial Reflections is Equal to Zero
Up to unitary equivalence, we describe all irreducible triples of self-adjoint operators A 1, A 2, A 3 such that σ(A i) ⊂ |−1, 0, 1}, i = 1, 2, 3, and A 1 + A 2 + A 3 = 0.
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| Date: | 2003 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
2003
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4001 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1865791097621446656 |
|---|---|
| author | Mellit, A. S. Меллит, А. С. Меллит, А. С. |
| author_facet | Mellit, A. S. Меллит, А. С. Меллит, А. С. |
| author_institution_txt_mv | [
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"author": "А. С. Меллит",
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| author_sort | Mellit, A. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:18:03Z |
| description | Up to unitary equivalence, we describe all irreducible triples of self-adjoint operators A 1, A 2, A 3 such that σ(A i) ⊂ |−1, 0, 1}, i = 1, 2, 3, and A 1 + A 2 + A 3 = 0. |
| first_indexed | 2026-03-24T02:52:09Z |
| format | Article |
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| id | umjimathkievua-article-4001 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:52:09Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/7b/945442ac3c524182c4258e3f0a57fa7b.pdf |
| spelling | umjimathkievua-article-40012020-03-18T20:18:03Z The Case Where the Sum of Three Partial Reflections is Equal to Zero Когда сумма трех частичных отражений равна нулю Mellit, A. S. Меллит, А. С. Меллит, А. С. Up to unitary equivalence, we describe all irreducible triples of self-adjoint operators A 1, A 2, A 3 such that σ(A i) ⊂ |−1, 0, 1}, i = 1, 2, 3, and A 1 + A 2 + A 3 = 0. Описано, з точністю до унітарної еквівалентності, всі незвідні трійки самоспряжених операторів $A_1, A_2, A_3$ таких, що $σ(A_i) ⊂ |−1, 0, 1\},\; i = 1, 2, 3,$ та $A_1 + A_2 + A_3 = 0$. Institute of Mathematics, NAS of Ukraine 2003-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4001 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 9 (2003); 1277-1283 Український математичний журнал; Том 55 № 9 (2003); 1277-1283 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4001/4714 https://umj.imath.kiev.ua/index.php/umj/article/view/4001/4715 Copyright (c) 2003 Mellit A. S. |
| spellingShingle | Mellit, A. S. Меллит, А. С. Меллит, А. С. The Case Where the Sum of Three Partial Reflections is Equal to Zero |
| title | The Case Where the Sum of Three Partial Reflections is Equal to Zero |
| title_alt | Когда сумма трех частичных отражений равна нулю |
| title_full | The Case Where the Sum of Three Partial Reflections is Equal to Zero |
| title_fullStr | The Case Where the Sum of Three Partial Reflections is Equal to Zero |
| title_full_unstemmed | The Case Where the Sum of Three Partial Reflections is Equal to Zero |
| title_short | The Case Where the Sum of Three Partial Reflections is Equal to Zero |
| title_sort | case where the sum of three partial reflections is equal to zero |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4001 |
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