Beurling-Lax type theorems and Cuntz relations

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F22%3AA2302BWW" target="_blank" >RIV/61988987:17310/22:A2302BWW - isvavai.cz</a>

Result on the web

<a href="https://www.sciencedirect.com/science/article/pii/S0024379521003736" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0024379521003736</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.laa.2021.10.008" target="_blank" >10.1016/j.laa.2021.10.008</a>

Result language

angličtina

Original language name

Beurling-Lax type theorems and Cuntz relations

Original language description

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.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2022

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

LINEAR ALGEBRA APPL

ISSN

0024-3795

e-ISSN

—

Volume of the periodical

—

Issue of the periodical within the volume

January

Country of publishing house

US - UNITED STATES

Number of pages

61

Pages from-to

152-212

UT code for WoS article

000711687200006

EID of the result in the Scopus database

2-s2.0-85117596077