On a bitangential interpolation problem for contractive-valued functions on the unit ball

DOI10.1016/S0024-3795(02)00299-9zbMath1037.47011MaRDI QIDQ697047

Joseph A. Ball, Vladimir Bolotnikov

Publication date: 12 September 2002

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

bitangential interpolationunitary extensionscharacteristic function of a unitary colligation

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Dilations, extensions, compressions of linear operators (47A20) Moment problems and interpolation problems in the complex plane (30E05) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items (8)

Realization and interpolation for Schur--Agler-class functions on domains with matrix polynomial defining function in \(\mathbb C^{n}\) ⋮ Interpolation in multivariable de Branges-Rovnyak spaces ⋮ The scalar Nevanlinna-Pick interpolation problem with boundary conditions ⋮ Positive extension problems for a class of structured matrices. ⋮ Operator theory on noncommutative domains ⋮ Carathéodory Fejér interpolation in the ball with mixed derivatives ⋮ Carathéodory interpolation on the non-commutative polydisk ⋮ A boundary Nevanlinna-Pick problem for a class of analytic matrix-valued functions in the unit ball

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