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Invariant symmetric restrictions of a self-adjoint operator. I

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Abstract

We prove necessary and sufficient conditions of the S-invariance of a subset dense in a separable Hilbert space H.

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Authors and Affiliations

  1. Ukrainian National Technical University “Kiev Polytechnic Institute,”, Kiev

    M. E. Dudkin

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  1. M. E. Dudkin
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 5, pp. 623–631, May, 1998.

This work was partially supported by the Foundation for Fundamental Research of the Ministry of Science and Technology of the Ukraine (grant No. 1/238).

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Dudkin, M.E. Invariant symmetric restrictions of a self-adjoint operator. I. Ukr Math J 50, 709–718 (1998). https://doi.org/10.1007/BF02514324

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