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arXiv · 1409.6259

Characterizations of Uniform Hyperbolicity and Spectra of CMV Matrices

David Damanik·Jake Fillman·Milivoje Lukic·William Yessen
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Abstract

We provide an elementary proof of the equivalence of various notions of uniform hyperbolicity for a class of $\mathrm{GL}(2,\mathbb{C})$ cocycles and establish a Johnson-type theorem for extended CMV matrices, relating the spectrum to the points on the unit circle for which the associated Szeg\H{o} cocycle is not uniformly hyperbolic.

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BibTeXRIS

David Damanik, Jake Fillman, Milivoje Lukic, William Yessen. 2014-09-22. Characterizations of Uniform Hyperbolicity and Spectra of CMV Matrices. https://arxiv.org/abs/1409.6259

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