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 |
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| 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. |