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Beurling-Lax type theorems and Cuntz relations.
- Source :
-
Linear Algebra & its Applications . Jan2022, Vol. 633, p152-212. 61p. - Publication Year :
- 2022
-
Abstract
- 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 of composition and multiplication operators associated with a given rational function. Applications to the theory of de Branges-Rovnyak spaces, also in the indefinite metric setting, are given. [ABSTRACT FROM AUTHOR]
- Subjects :
- *COMPOSITION operators
*ANALYTIC functions
*RESOLVENTS (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 633
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 153496595
- Full Text :
- https://doi.org/10.1016/j.laa.2021.10.008