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Continuous Spectrum for a Class of Smooth Mixing CMV Matrices

Continuous Spectrum for a Class of Smooth Mixing CMV Matrices

Year:    2025

Author:    Yaxin Peng

Communications in Mathematical Research , Vol. 41 (2025), Iss. 1 : pp. 25–29

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Communications in Mathematical Research , Vol. 41 (2025), Iss. 1 : pp. 25–29

Published online:    2025-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    5

Keywords:    CMV matrix continuous spectrum Gordon lemma super-recurrent.

Author Details

Yaxin Peng