Multivariable operator-valued Nevanlinna-Pick interpolation: a survey

zbMath1206.47019arXiv0808.2457MaRDI QIDQ3567952

Joseph A. Ball, Sanne ter Horst

Publication date: 17 June 2010

Full work available at URL: https://arxiv.org/abs/0808.2457

zbMATH Keywords

Toeplitz operatorNevanlinna classFock spaceDrury-Arveson spaceSchur classSchur-Agler class(completely) positive kernel(completely) positive mapleft/right-tangentialoperator-argumentW*-correspondence

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear operator methods in interpolation, moment and extension problems (47A57) Positive definite functions in one variable harmonic analysis (42A82) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items (2)

Comparing two generalized noncommutative Nevanlinna-Pick theorems ⋮ Nevanlinna-Pick Interpolation via Graph Spaces and Kreĭn-space Geometry: A Survey

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