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Algebra and Discrete Mathematics, 2004, выпуск 3, страницы 111–125
(Mi adm352)
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Unitarizable and non-unitarizable represenations of algebras generated by idempotents
Stanislav Popovycha, Lyudmila Turowskab a Department of Mechanics and Mathematics,
Kyiv Taras Shevchenko University, 01033 Kyiv, Ukraine
b Chalmers Tekniska Högskola, Matematiska
Vetenskaper, SE 412 96, Göteborg, Sweden
Аннотация:
The problem of unitarization of representations of algebras generated by idempotents with linear relations is studied. Construction of non-unitarizable representations for some sub-intervals of continuous spectrum is presented. Unitarization of representations from discrete series is proven.
Ключевые слова:
idempotent, projection, representation, unitarization, Hilbert space.
Образец цитирования:
Stanislav Popovych, Lyudmila Turowska, “Unitarizable and non-unitarizable represenations of algebras generated by idempotents”, Algebra Discrete Math., 2004, no. 3, 111–125
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm352 https://www.mathnet.ru/rus/adm/y2004/i3/p111
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Страница аннотации: | 145 | PDF полного текста: | 58 | Первая страница: | 1 |
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