Unitarizable and non-unitarizable represenations of algebras generated by idempotents

• Published in: Algebra and Discrete Mathematics
• Date: 2004
• ISSN: 1726-3255
• Main Authors: Popovych, S., Turowska, L.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2004
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156572
• 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.

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....