000099701 001__ 99701 000099701 005__ 20230519145419.0 000099701 0247_ $$2doi$$a10.1016/j.jmaa.2021.124984 000099701 0248_ $$2sideral$$a123143 000099701 037__ $$aART-2021-123143 000099701 041__ $$aeng 000099701 100__ $$0(orcid)0000-0003-2453-7841$$aAbadias, L.$$uUniversidad de Zaragoza 000099701 245__ $$aOperator inequalities, functional models and ergodicity 000099701 260__ $$c2021 000099701 5060_ $$aAccess copy available to the general public$$fUnrestricted 000099701 5203_ $$aWe 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. 000099701 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E26-17R$$9info:eu-repo/grantAgreement/ES/MCYTS-DGI-FEDER/PID2019-105979GB-I00 000099701 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000099701 590__ $$a1.417$$b2021 000099701 592__ $$a0.859$$b2021 000099701 594__ $$a2.6$$b2021 000099701 591__ $$aMATHEMATICS$$b77 / 333 = 0.231$$c2021$$dQ1$$eT1 000099701 593__ $$aApplied Mathematics$$c2021$$dQ1 000099701 591__ $$aMATHEMATICS, APPLIED$$b127 / 267 = 0.476$$c2021$$dQ2$$eT2 000099701 593__ $$aAnalysis$$c2021$$dQ1 000099701 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000099701 700__ $$aBello, G. 000099701 700__ $$aYakubovich, D. 000099701 7102_ $$12006$$2015$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Análisis Matemático 000099701 773__ $$g498, 2 (2021), 124984 [39 pp]$$pJ. math. anal. appl.$$tJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS$$x0022-247X 000099701 85641 $$uhttps://arxiv.org/pdf/1908.05032$$zTexto completo de la revista 000099701 8564_ $$s447650$$uhttps://zaguan.unizar.es/record/99701/files/texto_completo.pdf$$yPostprint 000099701 8564_ $$s1587951$$uhttps://zaguan.unizar.es/record/99701/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000099701 909CO $$ooai:zaguan.unizar.es:99701$$particulos$$pdriver 000099701 951__ $$a2023-05-18-14:05:24 000099701 980__ $$aARTICLE