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S-Nodes, Factorisation of Spectral Matrix Functions and Corresponding Inequalities

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Abstract

Using factorisation and Arov–Krein inequality results, we derive important inequalities (in terms of S-nodes) in interpolation problems.

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Authors and Affiliations

  1. Faculty of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, 1090, Vienna, Austria

    Alexander Sakhnovich

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  1. Alexander Sakhnovich
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Correspondence to Alexander Sakhnovich.

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Communicated by Bernd Kirstein.

To the memory of V.E. Katsnelson

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This research was supported by the Austrian Science Fund (FWF) Grant, https://doi.org/10.55776/Y963.

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Sakhnovich, A. S-Nodes, Factorisation of Spectral Matrix Functions and Corresponding Inequalities. Complex Anal. Oper. Theory 18, 126 (2024). https://doi.org/10.1007/s11785-024-01567-5

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  • DOI: https://doi.org/10.1007/s11785-024-01567-5

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