Interpolating \(d\)-tuples of matrices

DOI10.1016/j.jmaa.2022.126835OpenAlexW3168862373MaRDI QIDQ2102120

Alberto Dayan

Publication date: 28 November 2022

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

Full work available at URL: https://arxiv.org/abs/2106.00636

zbMATH Keywords

interpolating sequencesnoncommutative function theoryadmissible kernels\(d\)-tuples of matricesnoncommutative Pick property

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Moment problems and interpolation problems in the complex plane (30E05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Cites Work

• Interpolating matrices
• Interpolation and transfer-function realization for the noncommutative Schur-Agler class
• Interpolations by bounded analytic functions and the corona problem
• Random interpolating sequences in the polydisc and the unit ball
• An Interpolation Problem for Bounded Analytic Functions
• Interpolating Sequences in the Polydisc
• Algebras of bounded noncommutative analytic functions on subvarieties of the noncommutative unit ball
• INTERPOLATING SEQUENCES ON THE BIDISK
• On Some Interpolation Problems for Analytic Functions
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