The essential spectrum of Schrodinger, Jacobi, and CMV operators

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dc.creatorLast, Yoram
dc.creatorSimon, Barry
dc.date2005-03-18
dc.date2005-07-19
dc.date.accessioned2026-07-07T05:18:08Z
dc.date.available2026-07-07T05:18:08Z
dc.descriptionWe provide a very general result that identifies the essential spectrum of broad classes of operators as exactly equal to the closure of the union of the spectra of suitable limits at infinity. Included is a new result on the essential spectra when potentials are asymptotic to isospectral tori. We also recover with a unified framework the HVZ theorem and Krein's results on orthogonal polynomials with finite essential spectra.
dc.identifierhttps://arxiv.org/abs/math/0503391
dc.identifierhttp://arxiv.org/abs/math/0503391
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74552
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subject47A10, 35J10, 47B36
dc.titleThe essential spectrum of Schrodinger, Jacobi, and CMV operators
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