Families of operators satisfying relations

A problem of unitary classification of families of operators R_i= R _i ^* =R_i/–1 in a Hilbert space, connected by some additional relations. Such families occur in problems concerning representations of a side class of *-algebras, among others, two parameter deformations U(su (2)), constructed by E. K. Sklyannyi.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 3, pp. 309–317, March, 1992.