Functional models and finite dimensional perturbations of the shift

DOI10.1007/BF01191428zbMath0898.47006OpenAlexW2007698970MaRDI QIDQ1378059

Dan Timotin, Chafiq Benhida

Publication date: 5 February 1998

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01191428

zbMATH Keywords

invariant subspacesdual algebrasfinite-dimensional perturbations of shift operators

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Perturbation theory of linear operators (47A55) Invariant subspaces of linear operators (47A15) Canonical models for contractions and nonselfadjoint linear operators (47A45) Spectral sets of linear operators (47A25)

Related Items (4)

The generalized Crofoot transform ⋮ Finite rank perturbations of concentrations ⋮ Compact perturbations of isometries ⋮ Left-invertibility of rank-one perturbations

Cites Work

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• One-dimensional perturbations of isometries
• Invariant subspaces, dilation theory, and the structure of the predual of a dual algebra. I
• On the structure of contraction operators. III
• The commutant lifting approach to interpolation problems
• On a class of finite dimensional contractive perturbations of restricted shifts of finite multiplicity
• On a class of contractive perturbations of restricted shifts
• One-dimensional perturbations of the shift
• Redheffer products and characteristic functions
• One dimensional perturbations of restricted shifts
• Symplectic Geometry

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