Unitarizable and non-unitarizable represenations of algebras generated by idempotents
The problem of unitarization of representations of algebras generated by idempotents with linear relations is studied. Construction of non-unitarizable representations for some subintervals of continuous spectrum is presented. Unitarization of representations from discrete series is proven.
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| Datum: | 2018 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1003 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543025730158592 |
|---|---|
| author | Popovych, Stanislav Turowska, Lyudmila |
| author_facet | Popovych, Stanislav Turowska, Lyudmila |
| author_sort | Popovych, Stanislav |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-05-15T06:07:40Z |
| description | The problem of unitarization of representations of algebras generated by idempotents with linear relations is studied. Construction of non-unitarizable representations for some subintervals of continuous spectrum is presented. Unitarization of representations from discrete series is proven. |
| first_indexed | 2025-12-02T15:38:00Z |
| format | Article |
| id | admjournalluguniveduua-article-1003 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:38:00Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-10032018-05-15T06:07:40Z Unitarizable and non-unitarizable represenations of algebras generated by idempotents Popovych, Stanislav Turowska, Lyudmila idempotent, projection, representation, unitarization, Hilbert space 16W10, 47L30, 16G20 The problem of unitarization of representations of algebras generated by idempotents with linear relations is studied. Construction of non-unitarizable representations for some subintervals of continuous spectrum is presented. Unitarization of representations from discrete series is proven. Lugansk National Taras Shevchenko University 2018-05-15 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1003 Algebra and Discrete Mathematics; Vol 3, No 3 (2004) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1003/532 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | idempotent projection representation unitarization Hilbert space 16W10 47L30 16G20 Popovych, Stanislav Turowska, Lyudmila Unitarizable and non-unitarizable represenations of algebras generated by idempotents |
| title | Unitarizable and non-unitarizable represenations of algebras generated by idempotents |
| title_full | Unitarizable and non-unitarizable represenations of algebras generated by idempotents |
| title_fullStr | Unitarizable and non-unitarizable represenations of algebras generated by idempotents |
| title_full_unstemmed | Unitarizable and non-unitarizable represenations of algebras generated by idempotents |
| title_short | Unitarizable and non-unitarizable represenations of algebras generated by idempotents |
| title_sort | unitarizable and non-unitarizable represenations of algebras generated by idempotents |
| topic | idempotent projection representation unitarization Hilbert space 16W10 47L30 16G20 |
| topic_facet | idempotent projection representation unitarization Hilbert space 16W10 47L30 16G20 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1003 |
| work_keys_str_mv | AT popovychstanislav unitarizableandnonunitarizablerepresenationsofalgebrasgeneratedbyidempotents AT turowskalyudmila unitarizableandnonunitarizablerepresenationsofalgebrasgeneratedbyidempotents |