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On conditions for the discreteness of the spectrum of a semiinfinite Jacobi matrix with zero diagonal

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Ukrainian Mathematical Journal Aims and scope

We establish sufficient conditions for the discreteness of the spectrum of a second-order self-adjoint difference operator generated by a semiinfinite Jacobi matrix with zero principal diagonal.

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Authors and Affiliations

  1. Baku University, Baku, Azerbaijan

    G. M. Masmaliev

  2. Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku, Azerbaijan

    A. Kh. Khanmamedov

Authors
  1. G. M. Masmaliev
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  2. A. Kh. Khanmamedov
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 2, pp. 285–288, February, 2010.

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Masmaliev, G.M., Khanmamedov, A.K. On conditions for the discreteness of the spectrum of a semiinfinite Jacobi matrix with zero diagonal. Ukr Math J 62, 325–329 (2010). https://doi.org/10.1007/s11253-010-0356-0

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  • DOI: https://doi.org/10.1007/s11253-010-0356-0

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