Pavlov, B. S.; Faddeev, M. D. Spectral analysis of unitary perturbations of contractions. (Russian) Zbl 0531.47007 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 115, 215-227 (1982). 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 Cited in 1 ReviewCited in 2 Documents MSC: 47A20 Dilations, extensions, compressions of linear operators 47A55 Perturbation theory of linear operators 47A10 Spectrum, resolvent Keywords:unitary perturbations of contractions; contraction; unitary dilation PDFBibTeX XMLCite \textit{B. S. Pavlov} and \textit{M. D. Faddeev}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 115, 215--227 (1982; Zbl 0531.47007) Full Text: EuDML