8 citations · 17 across the 6 of their papers we have counts for
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Trace Formulas and a Borg-type Theorem for CMV Operators with Matrix-valued Coefficients
Maxim Zinchenko
We prove a general Borg-type inverse spectral result for a reflectionless unitary CMV operator (CMV for Cantero, Moral, and Velázquez) associated with matrix-valued Verblunsky coef…
Essential Closures and AC Spectra for Reflectionless CMV, Jacobi, and Schrödinger Operators Revisited
Fritz Gesztesy, Konstantin A. Makarov, Maxim Zinchenko
We provide a concise, yet fairly complete discussion of the concept of essential closures of subsets of the real axis and their intimate connection with the topological support of…
Borg-Marchenko-type Uniqueness Results for CMV Operators
Stephen Clark, Fritz Gesztesy, Maxim Zinchenko
We prove local and global versions of Borg-Marchenko-type uniqueness theorems for half-lattice and full-lattice CMV operators (CMV for Cantero, Moral, and Velazquez \cite{CMV03}).…
Local Spectral Properties of Reflectionless Jacobi, CMV, and Schrödinger Operators
Fritz Gesztesy, Maxim Zinchenko
We prove that Jacobi, CMV, and Schrödinger operators, which are reflectionless on a homogeneous set E (in the sense of Carleson), under the assumption of a Blaschke-type condition…