Canonical transfer-function realization for Schur multipliers on the Drury-Arveson space and models for commuting row contractions

DOI10.1512/iumj.2012.61.4601zbMath1276.47008arXiv1103.1369OpenAlexW2963558145MaRDI QIDQ4923041

Joseph A. Ball, Vladimir Bolotnikov

Publication date: 5 June 2013

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.1369

zbMATH Keywords

Agler decompositionoperator model theoryunitary realizationoperator-valued Schur-class functions

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Canonical models for contractions and nonselfadjoint linear operators (47A45) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items (8)

Canonical Transfer-function Realization for Schur-Agler-class Functions on Domains with Matrix Polynomial Defining Function in $$\mathbb{C}^n$$ ⋮ de Branges–Rovnyak Spaces: Basics and Theory ⋮ de Branges–Rovnyak Spaces and Norm-Constrained Interpolation ⋮ Commutative Dilation Theory ⋮ Canonical Transfer-function Realization for Schur-Agler-class Functions of the Polydisk ⋮ Non-commutative Clark measures for the free and abelian Toeplitz algebras ⋮ Aleksandrov-Clark theory for Drury-Arveson space ⋮ On a polyanalytic approach to noncommutative de Branges-Rovnyak spaces and Schur analysis

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