de Branges–Rovnyak Spaces: Basics and Theory
From MaRDI portal
Publication:3462190
DOI10.1007/978-3-0348-0667-1_6zbMath1347.46018arXiv1405.2980OpenAlexW1562022668MaRDI QIDQ3462190
Joseph A. Ball, Vladimir Bolotnikov
Publication date: 4 January 2016
Published in: Operator Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.2980
Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Canonical models for contractions and nonselfadjoint linear operators (47A45) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)
Related Items (12)
The Sarason sub-symbol and the recovery of the symbol of densely defined Toeplitz operators over the Hardy space ⋮ de Branges–Rovnyak Spaces and Norm-Constrained Interpolation ⋮ Exponentials of de Branges–Rovnyak kernels ⋮ Sub-Hilbert relation for Fock-Sobolev type spaces ⋮ The Cauchy dual subnormality problem via de Branges–Rovnyak spaces ⋮ Hilbert spaces of analytic functions with a contractive backward shift ⋮ Higher-order de Branges-Rovnyak and sub-Bergman spaces ⋮ Semiclosed multivalued projections ⋮ An indefinite analog of Sarason's generalized interpolation theorem ⋮ Higher order local Dirichlet integrals and de Branges-Rovnyak spaces ⋮ Noncommutative reproducing kernel Hilbert spaces ⋮ Semiclosed projections and applications
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Schur functions and their realizations in the slice hyperholomorphic setting
- Models for n-tuples of noncommuting operators
- Löwner expansions
- Multipliers of de Branges spaces
- Characteristic function of a pure commuting contractive tuple
- Inner multipliers of de Branges' spaces
- Integral representation of the \(n\)-th derivative in de Branges-Rovnyak spaces and the norm convergence of its reproducing kernel
- On certain Riesz families in vector-valued de Branges-Rovnyak spaces
- A proof of the Bieberbach conjecture
- Operator-valued Nevanlinna-Pick kernels and the functional models for contraction operators
- Models for noncommuting operators
- Multiplicative structure of de Branges's spaces
- Canonical models and the self-adjoint parts of dissipative operators
- Perturbation theory
- Schur functions, operator colligations, and reproducing kernel Pontryagin spaces
- Sub-Bergman Hilbert spaces in the unit disk. II.
- A theorem of Beurling-Lax type for Hilbert spaces of functions analytic in the unit ball
- de Branges--Rovnyak spaces and Schur functions: The hyperholomorphic case
- Finite dimensional de Branges spaces on Riemann surfaces
- Multipliers between invariant subspaces of the backward shift
- Multipliers of de Branges-Rovnyak spaces in \(H^2\).
- Multi-analytic operators on Fock spaces
- De Branges-Rovnyak realizations of operator-valued Schur functions on the complex right half-plane
- Scattering systems with several evolutions and multidimensional input/state/output systems
- On operator ranges
- Interpolation in Sub-Bergman Spaces
- Canonical Transfer-function Realization for Schur-Agler-class Functions on Domains with Matrix Polynomial Defining Function in $$\mathbb{C}^n$$
- Canonical Transfer-function Realization for Schur-Agler-class Functions of the Polydisk
- Isometric Dilations for Infinite Sequences of Noncommuting Operators
- UNITARY OPERATOR COLLIGATIONS AND THEIR CHARACTERISTIC FUNCTIONS
- de Branges–Rovnyak Spaces and Norm-Constrained Interpolation
- Positive-Definiteness and its Applications to Interpolation Problems for Holomorphic Functions
- Complementation in Krein Spaces
- Factorization and model theory for contraction operators with unitary part
- On Schur–Nevanlinna–Pick Indefinite Interpolation Problem
- Sub-Bergman Hilbert spaces on the unit disk
- Regular Factorizations of Contractions
- Interpolation for multipliers on reproducing kernel Hilbert spaces
- Canonical transfer-function realization for Schur multipliers on the Drury-Arveson space and models for commuting row contractions
- Reproducing kernels, de Branges-Rovnyak spaces, and norms of weighted composition operators
- On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
- Lax-Phillips scattering and conservative linear systems: a Cuntz-algebra multidimensional setting
- Theory of Reproducing Kernels
- Preface
- Factorization and invariant subspaces
- Perturbations of unitary transformations
This page was built for publication: de Branges–Rovnyak Spaces: Basics and Theory
