Beurling-Lax type theorems and Cuntz relations

We prove various Beurling-Lax type theorems, when the classical backward-shift operator is replaced by a general resolvent operator associated with a rational function. We also study connections to the Cuntz relations. An important tool is a new representation result for analytic functions, in terms...

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Veröffentlicht in:	Linear algebra and its applications Jg. 633; S. 152 - 212
Hauptverfasser:	Alpay, Daniel, Colombo, Fabrizio, Sabadini, Irene, Schneider, Baruch
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Amsterdam Elsevier Inc 15.01.2022 American Elsevier Company, Inc
Schlagworte:	Analytic functions Backward-shift operator Beurling-Lax theorem Cuntz relations de Branges-Rovnyak spaces Linear algebra Mathematical analysis Multiplication Operators (mathematics) Rational functions Structure theorems Theorems 30C10 Beurling-Lax theorem Structure theorems Cuntz relations Rational functions 47B32 de Branges-Rovnyak spaces Backward-shift operator
ISSN:	0024-3795, 1873-1856
Online-Zugang:	Volltext
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