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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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2004 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2004
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/156572 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| _version_ | 1862706670072758272 |
|---|---|
| author | Popovych, S. Turowska, L. |
| author_facet | Popovych, S. Turowska, L. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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 | 2025-12-07T17:00:57Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-156572 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T17:00:57Z |
| publishDate | 2004 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Unitarizable and non-unitarizable represenations of algebras generated by idempotents Popovych, S. Turowska, L. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/156572 |
| work_keys_str_mv | AT popovychs unitarizableandnonunitarizablerepresenationsofalgebrasgeneratedbyidempotents AT turowskal unitarizableandnonunitarizablerepresenationsofalgebrasgeneratedbyidempotents |