2017
Том 69
№ 9

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

Khanmamedov A. Kh., Masmaliev G. M.

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 2, pp 325-329.

Citation Example: Khanmamedov A. Kh., Masmaliev G. M. On conditions for the discreteness of the spectrum of a semiinfinite Jacobi matrix with zero diagonal // Ukr. Mat. Zh. - 2010. - 62, № 2. - pp. 285–288.

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