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Spectral analysis of doublyJ-nonexpanding operators

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Abstract

For a contracting operator in a space with an indefinite metric (i.e., for a doublyJ-nonexpanding operator) a characteristic operator-function is defined. On the basis of a detailed investigation of the properties of regular dilatations and characteristic functions of doublyJ-nonexpanding operators, a spectral analysis of these operators is carried out.

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Authors and Affiliations

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

    S. A. Kuzhel'

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  1. S. A. Kuzhel'
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 3, pp. 384–388, March, 1993.

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Kuzhel', S.A. Spectral analysis of doublyJ-nonexpanding operators. Ukr Math J 45, 408–413 (1993). https://doi.org/10.1007/BF01061013

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  • DOI: https://doi.org/10.1007/BF01061013

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