Sum Rules for Jacobi Matrices and Divergent Lieb-Thirring Sums

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dc.creatorZlatos, Andrej
dc.date2004-06-03
dc.date.accessioned2026-07-07T04:31:14Z
dc.date.available2026-07-07T04:31:14Z
dc.descriptionExtending earlier work of Killip-Simon and Simon-Zlatos, we obtain sum rules for Jacobi matrices in which the a.c. part of the spectral measure and the eigenvalues of the matrix appear on opposite sides of the equation. We use these to obtain various results on divergence of certain Lieb-Thirring sums of eigenvalues and Szego-type integrals of the a.c. part of the spectral measure.
dc.identifierhttps://arxiv.org/abs/math-ph/0406007
dc.identifierhttp://arxiv.org/abs/math-ph/0406007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57739
dc.subjectMathematical Physics
dc.subject47B36; 34L15
dc.titleSum Rules for Jacobi Matrices and Divergent Lieb-Thirring Sums
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