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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2004 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2004
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/156572 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Unitarizable and non-unitarizable represenations of algebras generated by idempotents / S. Popovych, L. Turowska // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 3. — С. 111–125. — Бібліогр.: 17 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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Popovych, S. Turowska, L. 2019-06-18T16:59:27Z 2019-06-18T16:59:27Z 2004 Unitarizable and non-unitarizable represenations of algebras generated by idempotents / S. Popovych, L. Turowska // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 3. — С. 111–125. — Бібліогр.: 17 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 16W10, 47L30, 16G20. https://nasplib.isofts.kiev.ua/handle/123456789/156572 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Unitarizable and non-unitarizable represenations of algebras generated by idempotents Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Unitarizable and non-unitarizable represenations of algebras generated by idempotents |
| spellingShingle |
Unitarizable and non-unitarizable represenations of algebras generated by idempotents Popovych, S. Turowska, L. |
| title_short |
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_sort |
unitarizable and non-unitarizable represenations of algebras generated by idempotents |
| author |
Popovych, S. Turowska, L. |
| author_facet |
Popovych, S. Turowska, L. |
| publishDate |
2004 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/156572 |
| citation_txt |
Unitarizable and non-unitarizable represenations of algebras generated by idempotents / S. Popovych, L. Turowska // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 3. — С. 111–125. — Бібліогр.: 17 назв. — англ. |
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AT popovychs unitarizableandnonunitarizablerepresenationsofalgebrasgeneratedbyidempotents AT turowskal unitarizableandnonunitarizablerepresenationsofalgebrasgeneratedbyidempotents |
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2025-12-07T17:00:57Z |
| last_indexed |
2025-12-07T17:00:57Z |
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1850869659284275200 |