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The Krein string and characteristic functions of non-self-adjoint operators

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Abstract

The operator generated by the Krein string is investigated in the framework of the extension theory of symmetric operators. A simple proof of the complete non-self-adjointness of the operator is proposed. The scattering function of the string is obtained with the help of the Derkach-Malamud formula for characteristic functions of almost solvable extensions. Bibliography: 16 titles.

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Authors and Affiliations

  1. Donetsk National University, Donetsk, Ukraine

    A. S. Kostenko

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  1. A. S. Kostenko
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 327, 2005, pp. 115–134.

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Kostenko, A.S. The Krein string and characteristic functions of non-self-adjoint operators. J Math Sci 139, 6425–6436 (2006). https://doi.org/10.1007/s10958-006-0360-y

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  • DOI: https://doi.org/10.1007/s10958-006-0360-y

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