Published December 2006
| Version public
Journal Article
The Essential Spectrum of Schrödinger, Jacobi, and CMV Operators
Creators
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1.
Hebrew University of Jerusalem
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2.
California Institute of Technology
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.
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.Additional details
Identifiers
- Eprint ID
- 79420
- DOI
- 10.1007/BF02790275
- Resolver ID
- CaltechAUTHORS:20170726-123106726
Funding
- Israel Science Foundation
- 188/02
- NSF
- DMS-0140592
- Binational Science Foundation (USA-Israel)
- 2002068
Dates
- Created
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2017-07-26Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department , Physics Department