Local Spectral Properties of Reflectionless Jacobi, CMV, and Schrödinger Operators

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.

25 pages, typos corrected, new material added

References in corpus (1)

• Reflectionless measures with a point mass and singular continuous component