Published January 1, 2009
| Submitted
Journal Article
Open
Local spectral properties of reflectionless Jacobi, CMV, and Schrödinger operators
- Creators
- Gesztesy, Fritz
- Zinchenko, Maxim
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.
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.Attached Files
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Additional details
- Eprint ID
- 13270
- DOI
- 10.1016/j.jde.2008.05.006
- Resolver ID
- CaltechAUTHORS:GESjde09
- Created
-
2009-02-06Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field