Beurling-Lax type theorems and Cuntz relations
نویسندگان
چکیده
We prove various Beurling-Lax type theorems, when the classical backward-shift operator is replaced by a general resolvent associated with rational function. also study connections to Cuntz relations. An important tool new representation result for analytic functions, in terms of composition and multiplication operators given Applications theory de Branges-Rovnyak spaces, indefinite metric setting, are given.
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2022
ISSN: ['1873-1856', '0024-3795']
DOI: https://doi.org/10.1016/j.laa.2021.10.008