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Representations of operator relations by means of unbounded operators and multidimensional dynamical systems

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Abstract

Families of unbounded commuting self-adjoint operators have been studied, connected by non-Lie relations with a unitary one. The possibility of a structural description of such a family of operators is based on the properties of ergodic measures of the corresponding many-dimensional dynamical system (d.s.). A number of conditions imposed on d.s., making the operator problem “tame,” has been presented.

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Authors and Affiliations

  1. Mathematical Institute, Academy of Sciences of the Ukrainian SSR, Kiev

    É. E. Vaisleb & Yu. S. Samoilenko

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  1. É. E. Vaisleb
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  2. Yu. S. Samoilenko
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 8, pp. 1011–1019, August, 1990.

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Vaisleb, É.E., Samoilenko, Y.S. Representations of operator relations by means of unbounded operators and multidimensional dynamical systems. Ukr Math J 42, 899–906 (1990). https://doi.org/10.1007/BF01099218

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  • DOI: https://doi.org/10.1007/BF01099218

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