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On pairs of unbounded self-adjoint operators satisfying an algebraic relation

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Abstract

Unbounded pairs of self-adjoint operatorsA andB satisfying the algebraic relationF 1(A)B=BF 2(A) are studied. For these relations, various definitions of “integrable” pairs of operators are presented and the class of “tame” relations is indicated; for the “tame” relations, the irreducible pairs are described and a structure theorem is presented.

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Authors and Affiliations

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

    V. L. Ostrovskii & Yu. S. Samoilenko

Authors
  1. V. L. Ostrovskii
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  2. Yu. S. Samoilenko
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 9, pp. 1253–1258, September, 1993.

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Ostrovskii, V.L., Samoilenko, Y.S. On pairs of unbounded self-adjoint operators satisfying an algebraic relation. Ukr Math J 45, 1406–1412 (1993). https://doi.org/10.1007/BF01058638

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  • DOI: https://doi.org/10.1007/BF01058638

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