The Essential Spectrum of Schrödinger, Jacobi, and CMV Operators
- Cite this article as:
- Last, Y. & Simon, B. J. Anal. Math. (2006) 98: 183. doi:10.1007/BF02790275
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.