Continuous Spectrum for a Class of Smooth Mixing CMV Matrices
DOI:
https://doi.org/10.4208/cmr.2024-0022Keywords:
CMV matrix, continuous spectrum, Gordon lemma, super-recurrent.Abstract
This note proves that the extended CMV matrices with Verblunsky coefficient that is generated by a smooth volume preserving mixing dynamical system and a Hölder sampling function have almost surely continuous spectrum.