Effective noncommutative Nevanlinna-Pick interpolation in the row ball, and applications

We provide an effective single-matrix criterion, in terms of what we call the elementary Pick matrix, for the solvability of the noncommutative Nevanlinna-Pick interpolation problem in the row ball, and provide some applications. In particular we show that the so-called “column-row property” fails f...

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Veröffentlicht in:	Journal of mathematical analysis and applications 2020-12, Vol.492 (2), p.124457, Article 124457
Hauptverfasser:	Augat, Meric, Jury, Michael T., Pascoe, James Eldred
Format:	Artikel
Sprache:	eng
Schlagworte:	Free semigroup algebra Mathematics Mathematics, Applied Nevanlinna-Pick interpolation Noncommutative function theory Physical Sciences Science & Technology
Online-Zugang:	Volltext
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