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Discrete spectrum for complex perturbations of periodic Jacobi matrices |
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| Authors: | Iryna Egorova Leonid Golinskii |
| Institution: | 1. Institute for Low Temperature Physics and Engineering , 47 Lenin Avenue, Kharkov, Ukraine egorova@ilt.kharkov.ua;3. Institute for Low Temperature Physics and Engineering , 47 Lenin Avenue, Kharkov, Ukraine |
| Abstract: | We study spectrum inclusion regions for complex Jacobi matrices, which are compact perturbations of real periodic Jacobi matrix. The condition sufficient for the lack of the discrete spectrum for such matrices is given. |
| Keywords: | Jost function Scattering problem Discrete spectrum Jacobi matrix Primary 47B36 39A70 Secondary 34L25 |