Journal of Mathematical Sciences

, Volume 165, Issue 4, pp 473–482 | Cite as

On compact perturbations of finite-zone Jacobi operators


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.


State Technical Complex Plane Spectral Measure Essential Spectrum Contour Integration 
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Copyright information

© Springer Science+Business Media, Inc. 2010

Authors and Affiliations

  1. 1.Nizhny Novgorod State Technical UniversityNizhny NovgorodRussia

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