On the Discrete Spectrum of Complex Banded Matrices
نویسندگان
چکیده
Abstract. The discrete spectrum of complex banded matrices that are compact perturbations of the standard banded matrix of order p is under consideration. The rate of stabilization for the matrix entries sharp in the sense of order which provides finiteness of the discrete spectrum is found. The pbanded matrix with the discrete spectrum having exactly p limit points on the interval (−2, 2) is constructed. The results are applied to the study of the discrete spectrum of asymptotically periodic Jacobi matrices.
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