Local spectral properties of reflectionless Jacobi, CMV, and Schrödinger operators |
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| Authors: | Fritz Gesztesy Maxim Zinchenko |
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| Institution: | a Department of Mathematics, University of Missouri, Columbia, MO 65211, USA
b Department of Mathematics, California Institute of Technology, Pasadena, CA 91125, USA |
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| Abstract: | We prove that Jacobi, CMV, and Schrödinger operators, which are reflectionless on a homogeneous set E (in the sense of Carleson), under the assumption of a Blaschke-type condition on their discrete spectra accumulating at E, have purely absolutely continuous spectrum on E. |
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| Keywords: | primary 34B20 34L05 34L40 secondary 34B24 34B27 47A10 |
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