On limit sets for the discrete spectrum of complex Jacobi matrices

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dc.creatorEgorova, I.
dc.creatorGolinskii, L.
dc.date2005-02-25
dc.date.accessioned2026-07-07T05:17:30Z
dc.date.available2026-07-07T05:17:30Z
dc.descriptionThe discrete spectrum of complex Jacobi matrices that are compact perturbations of the discrete laplacian is under consideration. The rate of stabilization for the the matrix entries which provides finiteness of the discrete spectrum and is sharp in the sense of order is found. The Jacobi matrix with the discrete spectrum having a single limit point is constructed. The results can be viewed as the discrete analogs of the well known theorems by B.S. Pavlov about Schrödinger operators on the half line with a complex potential.
dc.descriptionLaTeX, 24 pages
dc.identifierhttps://arxiv.org/abs/math/0502544
dc.identifierhttp://arxiv.org/abs/math/0502544
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74327
dc.subjectSpectral Theory
dc.subject47B36; 47A55
dc.titleOn limit sets for the discrete spectrum of complex Jacobi matrices
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