Last, Yoram and Simon, Barry (2006) The Essential Spectrum of Schrödinger, Jacobi, and CMV Operators. Journal d'Analyse Mathématique, 98 (1). pp. 183-220. ISSN 0021-7670. doi:10.1007/BF02790275. https://resolver.caltech.edu/CaltechAUTHORS:20170726-123106726
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Abstract
We provide a very general result which 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 within a unified framework the HVZ Theorem and Krein's results on orthogonal polynomials with finite essential spectra.
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| Additional Information: | © The Hebrew University Magnes Press 2006. Received March 8, 2005 and in revised form April 28, 2005. Supported in part by The Israel Science Foundation (grant No. 188/02). Supported in part by NSF grant DMS-0140592. Research supported in part by grant No. 2002068 from the United States-Israel Binational Science Foundation (BSF), Jerusalem, Israel. | ||||||||||||
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| Issue or Number: | 1 | ||||||||||||
| DOI: | 10.1007/BF02790275 | ||||||||||||
| Record Number: | CaltechAUTHORS:20170726-123106726 | ||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170726-123106726 | ||||||||||||
| Official Citation: | Last, Y. & Simon, B. J. Anal. Math. (2006) 98: 183. https://doi.org/10.1007/BF02790275 | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 79420 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | Ruth Sustaita | ||||||||||||
| Deposited On: | 26 Jul 2017 22:03 | ||||||||||||
| Last Modified: | 15 Nov 2021 17:48 |
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