99701 20251113150202.0 doi 10.1016/j.jmaa.2021.124984 sideral 123143 ART-2021-123143 eng Abadias, L. Universidad de Zaragoza (orcid)0000-0003-2453-7841 Operator inequalities, functional models and ergodicity 2021 Access copy available to the general public Unrestricted 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. info:eu-repo/grantAgreement/ES/DGA/E26-17R info:eu-repo/grantAgreement/ES/MCYTS-DGI-FEDER/PID2019-105979GB-I00 info:eu-repo/semantics/openAccess by-nc-nd https://creativecommons.org/licenses/by-nc-nd/4.0/deed.es 1.417 2021 MATHEMATICS 77 / 333 = 0.231 2021 Q1 T1 MATHEMATICS, APPLIED 127 / 267 = 0.476 2021 Q2 T2 0.859 2021 Applied Mathematics 2021 Q1 Analysis 2021 Q1 2.6 2021 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Bello, G. (orcid)0000-0001-6249-9247 Yakubovich, D. 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 498, 2 (2021), 124984 [39 pp] J. math. anal. appl. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 0022-247X 447650 http://zaguan.unizar.es/record/99701/files/texto_completo.pdf Postprint 1587951 http://zaguan.unizar.es/record/99701/files/texto_completo.jpg?subformat=icon icon Postprint https://arxiv.org/pdf/1908.05032 Texto completo de la revista oai:zaguan.unizar.es:99701 articulos driver 2025-11-13-15:00:37 ARTICLE