On a class of finite dimensional contractive perturbations of restricted shifts of finite multiplicity

DOI10.1007/BF02757867zbMath0301.47020MaRDI QIDQ1215797

Paul A. Fuhrmann

Publication date: 1974

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Invariant subspaces of linear operators (47A15) Canonical models for contractions and nonselfadjoint linear operators (47A45)

Related Items

Functional models and finite dimensional perturbations of the shift, On realization of linear systems and applications to some questions of stability, Matrix valued truncated Toeplitz operators: basic properties, Numerical ranges of \(C_{0}(N)\) contractions, The generalized Crofoot transform, Finite rank perturbations of concentrations, Left-invertibility of rank-one perturbations

Cites Work

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• One dimensional perturbations of restricted shifts
• The multiplicative structure of 𝐽-contractive matrix functions
• On the Corona Theorem and its Application to Spectral Problems in Hilbert Space