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On the decomposition of a perturbed operator of weighted shift

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Abstract

We obtain results concerning the reducibility of an operator of weighted shift to a system of scalar operators of weighted shift.

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References

  1. G. P. Pelyukh, “A general solution of one class of systems of difference equations with periodic coefficients,” Differents. Uravn., 30, No. 3, 514–519 (1994).

    MathSciNet  Google Scholar 

  2. V. I. Arnol’d, Additional Chapters of Ordinary Differential Equations [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  3. V. A. Yakubovich and V. M. Starzhinskii, Linear Differential Equations with Periodic Coefficients and Their Applications [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  4. Yu. A. Mitropol’skii, Averaging Method in Nonlinear Mechanics [in Russian], Naukova Dumka, Kiev (1971).

    Google Scholar 

  5. K. O. Friedrichs, Perturbation of Spectra in Hilbert Space, American Mathematical Society, Providence, Rhode Island (1965).

    MATH  Google Scholar 

  6. L. V. Kantorovich and G. P. Akilov, Functional Analysis [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  7. A. G. Baskakov, “Spectral analysis of difference operators,” Dokl. Ros. Akad. Nauk, 353, No. 5, (1997).

  8. N. Dunford and J. T. Schwartz, Linear Operators. Part I: General Theory [Russian translation], Inostrannaya Literatura, Moscow (1962).

    Google Scholar 

  9. B. M. Levitan, Almost Periodic Functions [in Russian], Gostekhizdat, Moscow (1953).

    Google Scholar 

  10. J. L. Massera and J. J. Schaffer, Linear Differential Equations and Function Spaces, Academic Press, New York (1966).

    MATH  Google Scholar 

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Authors and Affiliations

  1. Voronezh University, Voronezh

    A. G. Baskakov

Authors
  1. A. G. Baskakov
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 2, pp. 155–161, February, 1998.

This work was financially supported by the Russian Fundamental Research.

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Baskakov, A.G. On the decomposition of a perturbed operator of weighted shift. Ukr Math J 50, 177–185 (1998). https://doi.org/10.1007/BF02513443

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  • DOI: https://doi.org/10.1007/BF02513443

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