Schur-class multipliers on the Arveson space: de Branges-Rovnyak reproducing kernel spaces and commutative transfer-function realizations

DOI10.1016/j.jmaa.2007.10.033zbMath1223.47012arXivmath/0610638OpenAlexW2167687657MaRDI QIDQ2474957

Quanlei Fang, Vladimir Bolotnikov, Joseph A. Ball

Publication date: 6 March 2008

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

Full work available at URL: https://arxiv.org/abs/math/0610638

zbMATH Keywords

de Branges-Rovnyak spaceoperator-valued functionsinner multipliersSchur-class multipliers

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Invariant subspaces of linear operators (47A15) 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) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items

Multivariable Beurling–Lax representations: the commutative and free noncommutative settings, Spectral theory of multiplication operators on Hardy-Sobolev spaces, Transfer-function realization for multipliers of the Arveson space, Adaptative decomposition: the case of the Drury-Arveson space, Interpolation in multivariable de Branges-Rovnyak spaces, Adaptive orthonormal systems for matrix-valued functions, Multivariable versions of a lemma of Kaluza's, Non-commutative Clark measures for the free and abelian Toeplitz algebras, New algorithm for the numerical solution of the integro-differential equation with an integral boundary condition, Contractively included subspaces of Pick spaces, Solving the forced Duffing equation with integral boundary conditions in the reproducing kernel space, Aleksandrov-Clark theory for Drury-Arveson space, Nevanlinna-Pick Interpolation via Graph Spaces and Kreĭn-space Geometry: A Survey

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