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Spectral analysis of unitary perturbations of contractions. (Russian) Zbl 0531.47007

For a given unitary operator U with simple spectrum the arbitrary contractions \(T_ V\) differing from U by a one-dimensional operator are constructed and the comparative spectral analysis of operators U and T is derived.
Reviewer: B.V.Loginov

MSC:

47A20 Dilations, extensions, compressions of linear operators
47A55 Perturbation theory of linear operators
47A10 Spectrum, resolvent
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