One-dimensional perturbations of the shift

DOI10.1007/BF01200292zbMath0799.47001MaRDI QIDQ1316481

Yoshihiro Nakamura

Publication date: 14 March 1994

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

zbMATH Keywords

contractions which are one-dimensional perturbations of isometriesperturbations of the shift operator

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Canonical models for contractions and nonselfadjoint linear operators (47A45)

Related Items (6)

Functional models and finite dimensional perturbations of the shift ⋮ Rank-one perturbations of diagonal operators ⋮ Dilation to the unilateral shifts ⋮ Finite rank perturbations of concentrations ⋮ Compact perturbations of isometries ⋮ Left-invertibility of rank-one perturbations

Cites Work

• One-dimensional perturbations of isometries
• One dimensional perturbations of restricted shifts
• Unitary Equivalence Modulo the Trace Class for Self-Adjoint Operators
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