Existence and completeness of wave operators are proved for Jacobi matrices under the Szegő condition on the spectral measure together with a mild assumption on Verblunsky coefficients.
Simon,Szeg˝ o’s theorem and its descendants: spectral theory forL 2 perturbations of orthogonal polynomials, Princeton University Press
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Wave operators for Jacobi matrices
Existence and completeness of wave operators are proved for Jacobi matrices under the Szegő condition on the spectral measure together with a mild assumption on Verblunsky coefficients.