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Families of operators satisfying relations

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Abstract

A problem of unitary classification of families of operators Ri= R *i =Ri/−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.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    Yu. N. Bespalov

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  1. Yu. N. Bespalov
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 3, pp. 309–317, March, 1992.

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Bespalov, Y.N. Families of operators satisfying relations. Ukr Math J 44, 269–277 (1992). https://doi.org/10.1007/BF01063127

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  • DOI: https://doi.org/10.1007/BF01063127

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