Geodesic
On compact perturbations of finite-zone Jacobi operators
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 37, Tome 366 (2009), pp. 84-101

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For a bounded Jacobi operator (a discrete analog of the Sturm–Liouville operator on the semi-axis), the compactness of a perturbation is investigated. The perturbation is produced by a change of the spectral measure (essential spectrum stays unchanged). Bibl. – 21 titles. 
@article{ZNSL_2009_366_a5,
     author = {A. A. Kononova},
     title = {On compact perturbations of finite-zone {Jacobi} operators},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {84--101},
     publisher = {mathdoc},
     volume = {366},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2009_366_a5/}
}
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A. A. Kononova. On compact perturbations of finite-zone Jacobi operators. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 37, Tome 366 (2009), pp. 84-101. http://geodesic.mathdoc.fr/item/ZNSL_2009_366_a5/