For a bounded Jacobi operator (a discrete analog of the Sturm–Liouville operator on the half-axis), the compactness of a perturbation is studied. The perturbation is produced by a change of the spectral measure (the essential spectrum remains unchanged). Bibliography: 21 titles.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 366, 2009, pp. 84–101.
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Kononova, A.A. On compact perturbations of finite-zone Jacobi operators. J Math Sci 165, 473–482 (2010). https://doi.org/10.1007/s10958-010-9815-2
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DOI: https://doi.org/10.1007/s10958-010-9815-2