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: | 2004 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2004
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| Schriftenreihe: | Algebra and Discrete Mathematics |
| Online Zugang: | http://dspace.nbuv.gov.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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | 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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