Sum Rules for Jacobi Matrices and Their Applications to Spectral Theory

Simple item page
dc.creatorKillip, Rowan
dc.creatorSimon, Barry
dc.date2001-12-06
dc.date2004-09-10
dc.date.accessioned2026-07-07T04:28:48Z
dc.date.available2026-07-07T04:28:48Z
dc.descriptionWe discuss the proof of and systematic application of Case's sum rules for Jacobi matrices. Of special interest is a linear combination of two of his sum rules which has strictly positive terms. Among our results are a complete classification of the spectral measures of all Jacobi matrices J for which J-J_0 is Hilbert--Schmidt, and a proof of Nevai's conjecture that the Szego condition holds if J-J_0 is trace class.
dc.description69 pages, published version
dc.identifierhttps://arxiv.org/abs/math-ph/0112008
dc.identifierhttp://arxiv.org/abs/math-ph/0112008
dc.identifierAnn. of Math. (2), Vol. 158 (2003), no. 1, 253--321
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56926
dc.subjectMathematical Physics
dc.subjectClassical Analysis and ODEs
dc.subject34L05, 42C05, 47B36, 81Q10
dc.titleSum Rules for Jacobi Matrices and Their Applications to Spectral Theory
dc.typetext

Files

Collections

arXiv