Stanislav Popovych, Lyudmila Turowska, “Unitarizable and non-unitarizable represenations of algebras generated by idempotents”, Algebra Discrete Math., 2004, выпуск 3,страницы 111

Unitarizable and non-unitarizable represenations of algebras generated by idempotents

Stanislav Popovych^a, Lyudmila Turowska^b

^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.

MSC: 16W10, 47L30, 16G20

Язык публикации: английский