On the structure of \(J\)-Potapov sequences

DOI10.1016/j.laa.2008.12.012zbMath1197.47028OpenAlexW2083139117MaRDI QIDQ1014499

Uwe Raabe, Bernd Fritzsche, Bernd Kirstein

Publication date: 29 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.12.012

zbMATH Keywords

\(J\)-centrality\(J\)-Potapov function\(J\)-Potapov sequence\(J\)-Potapov-Ginsburg transform\(m\times m\) Schur sequence

Mathematics Subject Classification ID

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) Moment problems and interpolation problems in the complex plane (30E05)

Related Items

On an interpolation problem for J-Potapov functions, On the Weyl matrix balls associated with \(J\)-Potapov sequences in both nondegenerate and degenerate cases, Representations of \(J\)-central \(J\)-Potapov functions in both nondegenerate and degenerate cases

Cites Work

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• The Schur-Potapov algorithm for sequences of complex \(p\times q\) matrices. I
• The multiplicative structure of 𝐽-contractive matrix functions
• A Schur Type Matrix Extension Problem