This note proves that the extended CMV matrices with Verblunsky coefficient that is generated by a smooth volume preserving mixing dynamical system and a Holder sampling function have almost surely continuous spectrum.
基金supported in part by the NSFC(Nos.11571327,11971059)by the Fundamental Research Funds for the Central Universities(No.202461102).
文摘This note proves that the extended CMV matrices with Verblunsky coefficient that is generated by a smooth volume preserving mixing dynamical system and a Holder sampling function have almost surely continuous spectrum.