Discrete spectrum in the gaps for perturbations of periodic Jacobi matrices

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摘要

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.

论文关键词：primary,47A55,secondary,47A75,47B36,Spectral theory,Compact perturbation,Operator ideals,Jacobi matrices

论文评审过程：Received 17 May 2007, Available online 22 July 2008.

论文官网地址：https://doi.org/10.1016/j.cam.2008.07.046