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:2004
Main Authors: Popovych, S., Turowska, L.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2004
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.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