Generic spectral results for CMV matrices with dynamically defined Verblunsky coefficients

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dc.citation.articleNumber108803
dc.citation.issueNumber12
dc.citation.journalTitleJournal of Functional Analysis
dc.citation.volumeNumber279
dc.contributor.authorFang, Licheng
dc.contributor.authorDamanik, David
dc.contributor.authorGuo, Shuzheng
dc.date.accessioned2020-10-15T19:35:57Z
dc.date.available2020-10-15T19:35:57Z
dc.date.issued2020
dc.description.abstractWe consider CMV matrices with dynamically defined Verblunsky coefficients. These coefficients are obtained by continuous sampling along the orbits of an ergodic transformation. We investigate whether certain spectral phenomena are generic in the sense that for a fixed base transformation, the set of continuous sampling functions for which the spectral phenomenon occurs is residual. Among the phenomena we discuss are the absence of absolutely continuous spectrum and the vanishing of the Lebesgue measure of the spectrum.
dc.identifier.citationFang, Licheng, Damanik, David and Guo, Shuzheng. "Generic spectral results for CMV matrices with dynamically defined Verblunsky coefficients." <i>Journal of Functional Analysis,</i> 279, no. 12 (2020) Elsevier: https://doi.org/10.1016/j.jfa.2020.108803.
dc.identifier.doihttps://doi.org/10.1016/j.jfa.2020.108803
dc.identifier.urihttps://hdl.handle.net/1911/109414
dc.language.isoeng
dc.publisherElsevier
dc.rightsThis is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Elsevier.
dc.subject.keywordCMV matrices
dc.subject.keywordErgodic Verblunsky coefficients
dc.subject.keywordKotani theory
dc.titleGeneric spectral results for CMV matrices with dynamically defined Verblunsky coefficients
dc.typeJournal article
dc.type.dcmiText
dc.type.publicationpost-print
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