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Cantor spectrum for CMV and Jacobi matrices with coefficients arising from generalized skew-shifts
Published online by Cambridge University Press: 08 April 2021
Abstract
We consider continuous cocycles arising from CMV and Jacobi matrices. Assuming that the Verblunsky and Jacobi coefficients arise from generalized skew-shifts, we prove that uniform hyperbolicity of the associated cocycles is $C^0$ -dense. This implies that the associated CMV and Jacobi matrices have a Cantor spectrum for a generic continuous sampling map.
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- © The Author(s), 2021. Published by Cambridge University Press
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