Left-invertibility of rank-one perturbations

DOI10.1007/978-3-031-50535-5_13MaRDI QIDQ6610397

Susmita Das, Jaydeb Sarkar

Publication date: 25 September 2024

zbMATH Keywords

reproducing kernel Hilbert spacesrank-one perturbationsshiftsisometriesdiagonal operatorsleft-invertible operators

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Perturbation theory of linear operators (47A55) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Compactness in Banach (or normed) spaces (46B50) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Hardy spaces (30H10)

Cites Work

• Unnamed Item
• Invariant subspaces for certain finite-rank perturbations of diagonal operators
• One-dimensional perturbations of isometries
• On a class of finite dimensional contractive perturbations of restricted shifts of finite multiplicity
• One-dimensional perturbations of the shift
• Functional models and finite dimensional perturbations of the shift
• Bergman inner functions and \(m\)-hypercontractions
• Perturbation theory for linear operators.
• \(K\)-inner functions and \(K\)-contractions
• Multivariable Bergman shifts and Wold decompositions
• Finite rank perturbations of normal operators: spectral subspaces and Borel series
• Generalized multipliers for left-invertible operators and applications
• Dilations, wandering subspaces, and inner functions
• One dimensional perturbations of restricted shifts
• Wold-type decompositions and wandering subspaces for operators close to isometries
• Compact perturbations of isometries
• A constrained Nevanlinna-Pick interpolation problem
• Compact perturbations of scalar type spectral operators
• Finite-rank perturbations of positive operators and isometries
• Rank-one perturbations of diagonal operators

This page was built for publication: Left-invertibility of rank-one perturbations