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Local spectral properties of reflectionless Jacobi, CMV, and Schrödinger operators

Gesztesy, Fritz and Zinchenko, Maxim (2009) Local spectral properties of reflectionless Jacobi, CMV, and Schrödinger operators. Journal of Differential Equations, 246 (1). pp. 78-107. ISSN 0022-0396. doi:10.1016/j.jde.2008.05.006. https://resolver.caltech.edu/CaltechAUTHORS:GESjde09

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Abstract

We prove that Jacobi, CMV, and Schrödinger operators, which are reflectionless on a homogeneous set ε (in the sense of Carleson), under the assumption of a Blaschke-type condition on their discrete spectra accumulating at ε, have purely absolutely continuous spectrum on ε.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/j.jde.2008.05.006DOIArticle
https://arxiv.org/abs/0803.3177arXivDiscussion Paper
Additional Information:© 2008 Elsevier. Received 13 January 2008. We are indebted to Barry Simon and Alexander Volberg for helpful discussions on this topic. Dedicated with great pleasure to Ludwig Streit on the occasion of his 70th birthday.
Subject Keywords:Absolutely continuous spectrum; Reflectionless Jacobi, CMV; Schrodinger operators
Issue or Number:1
DOI:10.1016/j.jde.2008.05.006
Record Number:CaltechAUTHORS:GESjde09
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:GESjde09
Official Citation:Fritz Gesztesy, Maxim Zinchenko, Local spectral properties of reflectionless Jacobi, CMV, and Schrödinger operators, Journal of Differential Equations, Volume 246, Issue 1, 2009, Pages 78-107, ISSN 0022-0396, https://doi.org/10.1016/j.jde.2008.05.006. (http://www.sciencedirect.com/science/article/pii/S0022039608002283)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:13270
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:06 Feb 2009 04:35
Last Modified:08 Nov 2021 22:36

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