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arXiv · 2005.04696

Subordinacy Theory for Extended CMV Matrices

Shuzheng Guo·David Damanik·Darren C. Ong
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Abstract

We develop subordinacy theory for extended CMV matrices. That is, we provide explicit supports for the singular and absolutely continuous parts of the canonical spectral measure associated with a given extended CMV matrix in terms of the presence or absence of subordinate solutions of the generalized eigenvalue equation. Some corollaries and applications of this result are described as well.

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Shuzheng Guo, David Damanik, Darren C. Ong. 2020-05-10. Subordinacy Theory for Extended CMV Matrices. https://doi.org/10.1007/s11425-020-1778-4

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