Unitarizable and non-unitarizable represenations of algebras generated by idempotents

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2004
• Hauptverfasser: Popovych, S., Turowska, L.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2004
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/156572
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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.