The De Branges-Rovnyak Model with Finite-Dimensional Coefficients

DOI10.2307/2154818zbMath0827.46022OpenAlexW4243474663MaRDI QIDQ4846119

James Guyker

Publication date: 21 August 1995

Full work available at URL: https://doi.org/10.2307/2154818

zbMATH Keywords

canonical model spacesHilbert spaces of formal power series with vector coefficients which satisfy a difference-quotient inequality

Mathematics Subject Classification ID

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)

Related Items (2)

Pontryagin-de Branges-Rovnyak spaces of slice hyperholomorphic functions ⋮ On a polyanalytic approach to noncommutative de Branges-Rovnyak spaces and Schur analysis

Cites Work

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• Translation invariant spaces
• Operator-valued Nevanlinna-Pick kernels and the functional models for contraction operators
• On two problems concerning linear transformations in Hilbert space
• Ideals of Square Summable Power Series
• Shifts on Hilbert spaces.
• Ideals of Square Summable Power Series
• The de Branges-Rovnyak Model
• Ideals of Square Summable Power Series. II
• Factorization and invariant subspaces

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