Operator inequalities, functional models and ergodicity
Abadias, L. (Universidad de Zaragoza) ; Bello, G. ; Yakubovich, D.
Resumen: We discuss when an operator T, subject to a rather general inequality in hereditary form, admits a unitarily equivalent functional model of Agler type in the reproducing kernel Hilbert space associated to the inequality. The kernel need not be of Nevanlinna-Pick type. We define a defect operator D in our context and discuss the structure of the spectrum of T when D is of finite rank. As a second application, some consequences concerning the ergodic behavior of the operator T are derived.
Idioma: Inglés
DOI: 10.1016/j.jmaa.2021.124984
Año: 2021
Publicado en: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 498, 2 (2021), 124984 [39 pp]
ISSN: 0022-247X
Originalmente disponible en: Texto completo de la revista
Factor impacto JCR: 1.417 (2021)
Categ. JCR: MATHEMATICS rank: 77 / 333 = 0.231 (2021) - Q1 - T1
Categ. JCR: MATHEMATICS, APPLIED rank: 127 / 267 = 0.476 (2021) - Q2 - T2
Factor impacto CITESCORE: 2.6 - Mathematics (Q2)
Factor impacto SCIMAGO: 0.859 - Applied Mathematics (Q1) - Analysis (Q1)
Financiación: info:eu-repo/grantAgreement/ES/DGA/E26-17R
Financiación: info:eu-repo/grantAgreement/ES/MCYTS-DGI-FEDER/PID2019-105979GB-I00
Tipo y forma: Article (PostPrint)
Área (Departamento): Área Análisis Matemático (Dpto. Matemáticas)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material.
Exportado de SIDERAL (2023-05-18-14:05:24)
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Idioma: Inglés
DOI: 10.1016/j.jmaa.2021.124984
Año: 2021
Publicado en: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 498, 2 (2021), 124984 [39 pp]
ISSN: 0022-247X
Originalmente disponible en: Texto completo de la revista
Factor impacto JCR: 1.417 (2021)
Categ. JCR: MATHEMATICS rank: 77 / 333 = 0.231 (2021) - Q1 - T1
Categ. JCR: MATHEMATICS, APPLIED rank: 127 / 267 = 0.476 (2021) - Q2 - T2
Factor impacto CITESCORE: 2.6 - Mathematics (Q2)
Factor impacto SCIMAGO: 0.859 - Applied Mathematics (Q1) - Analysis (Q1)
Financiación: info:eu-repo/grantAgreement/ES/DGA/E26-17R
Financiación: info:eu-repo/grantAgreement/ES/MCYTS-DGI-FEDER/PID2019-105979GB-I00
Tipo y forma: Article (PostPrint)
Área (Departamento): Área Análisis Matemático (Dpto. Matemáticas)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material. Exportado de SIDERAL (2023-05-18-14:05:24)
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Record created 2021-03-08, last modified 2023-05-19