On dissipative and non-unitary solutions to operator commutation relations

K. A. Makarov, E. Tsekanovskii

We study the (generalized) semi-Weyl commutation relations $$ U_gAU_g^*=g(A) \quad \text{ on }\quad \Dom(A), $$ where $A$ is a densely defined operator and $G\ni g\mapsto U_g$ is a…