Unitarizable and non-unitarizable represenations of algebras generated by idempotents

Stanislav Popovych, Lyudmila Turowska

Abstract


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.


Keywords


idempotent, projection, representation, unitarization, Hilbert space

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