Continuous Spectrum for a Class of Smooth Mixing CMV Matrices

Authors

  • Yaxin Peng

DOI:

https://doi.org/10.4208/cmr.2024-0022

Keywords:

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.

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Published

2025-03-31

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Issue

Vol. 41 No. 1 (2025)

Section

Articles

How to Cite

Continuous Spectrum for a Class of Smooth Mixing CMV Matrices. (2025). Communications in Mathematical Research, 41(1), 25-29. https://doi.org/10.4208/cmr.2024-0022