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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Bibliographic Details
Date:2018
Main Authors: Popovych, Stanislav, Turowska, Lyudmila
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1003
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics