English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Relations between half- and full-lattice CMV operators with scalar- andmatrix-valued Verblunsky coefficients are investigated. In particular, thedecoupling of full-lattice CMV operators into a direct sum of two half-latticeCMV operators by a perturbation of minimal rank is studied. Contrary to theJacobi case, decoupling a full-lattice CMV matrix by changing one of theVerblunsky coefficients results in a perturbation of twice the minimal rank.The explicit form for the minimal rank perturbation and the resulting twohalf-lattice CMV matrices are obtained. In addition, formulas relating theWeyl--Titchmarsh $m$-functions (resp., matrices) associated with the involvedCMV operators and their Green's functions (resp., matrices) are derived.

Minimal Rank Decoupling of Full-Lattice CMV Operators with Scalar- and Matrix-Valued Verblunsky Coefficients