Local spectral properties of reflectionless Jacobi, CMV, and Schrödinger operators (Q2378184)

The authors deal with spectral properties of self-adjoint Jacobi and Schrödinger operators \(H\) on \(\mathbb{Z}\) and \(\mathbb{R}\), respectively, and unitary CMV operators \(U\) on \(\mathbb{Z}\), which are reflections on a homogeneous set \(\mathcal{E}\) contained in the essential spectrum. They prove that under the assumption of a Blaschke - type condition on their discrete spectra accumulating at \(\mathcal{E}\), the operators \(H\) (resp. \(U\)) have purely absolutely continuous spectrum on \(\mathcal{E}\).