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Discrete spectrum in the gaps for perturbations of periodic Jacobi matrices
Authors:P.A. Cojuhari
Affiliation:Department of Applied Mathematics, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Cracow, Poland
Abstract:In the paper we study the problem of the finiteness of the discrete spectrum for operators generated by perturbations of periodic Jacobi matrices. In particular, estimate formulae for the number of the eigenvalues created by perturbations in the gaps of the unperturbed operator are established.
Keywords:primary, 47A55   secondary, 47A75, 47B36
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