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.
Kato,Perturbation Theory for Linear Operators, Reprint of the 1980 edition, Classics in Mathematics, Springer- Verlag, Berlin
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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.