Transfer-function realization for multipliers of the Arveson space

DOI10.1016/j.jmaa.2006.10.076zbMath1126.47011arXivmath/0610637OpenAlexW1971494054MaRDI QIDQ886165

Quanlei Fang, Vladimir Bolotnikov, Joseph A. Ball

Publication date: 26 June 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610637

zbMATH Keywords

Schur multiplieroperator-valued functions

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) 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) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items

Multivariable Beurling–Lax representations: the commutative and free noncommutative settings, Extremal multipliers of the Drury–Arveson space, Spectral theory of multiplication operators on Hardy-Sobolev spaces, Canonical Transfer-function Realization for Schur-Agler-class Functions of the Polydisk, Weighted Bergman spaces: shift-invariant subspaces and input/state/output linear systems, Multivariable versions of a lemma of Kaluza's, Non-commutative Clark measures for the free and abelian Toeplitz algebras, Schur-class multipliers on the Arveson space: de Branges-Rovnyak reproducing kernel spaces and commutative transfer-function realizations, Multivariable backward-shift-invariant subspaces and observability operators, Contractively included subspaces of Pick spaces, Aleksandrov-Clark theory for Drury-Arveson space, Multivariable Generalizations of the Schur Class: Positive Kernel Characterization and Transfer Function Realization, Nevanlinna-Pick Interpolation via Graph Spaces and Kreĭn-space Geometry: A Survey, Scattering systems with several evolutions and formal reproducing kernel Hilbert spaces

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