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Extended eigenvalues of composition operators

dc.contributor.authorLacruz, Miguel
dc.contributor.authorLeón Saavedra, Fernando 
dc.contributor.authorPetrovic, Srdjan
dc.contributor.authorRodríguez-Piazza, Luis
dc.contributor.otherMatemáticases_ES
dc.date.accessioned2021-11-16T12:59:25Z
dc.date.available2021-11-16T12:59:25Z
dc.date.issued2021-12
dc.identifier.issn0022-247X
dc.identifier.issn1096-0813 (internet)
dc.identifier.urihttp://hdl.handle.net/10498/25779
dc.description.abstractA complex scalar lambda is said to be an extended eigenvalue of a bounded linear operator A on a complex Hilbert space if there is a nonzero operator X such that AX = lambda XA. The results in this paper provide a full solution to the problem of computing the extended eigenvalues for those composition operators C-phi induced on the Hardy space H-2(D) by linear fractional transformations phi of the unit disk. (c) 2021 Universidad de Sevilla. Published by Elsevier Inces_ES
dc.description.sponsorshipThe first and fourth authors were supported by Ministerio de Ciencia, Innovacion y Universidades under Grant MTM 2015-63699-P, and by Fondo Europeo de Desarrollo Regional under Grant PGC2018-094215-B-I00. The second author was also supported by Fondo Europeo de Desarrollo Regional under Grant PGC2018-101514-B-I00, and by Junta de Andalucia under Grant FEDER-UCA18-108415. The first author visited Western Michigan University at an early stage of this research. He would like to acknowledge the warm hospitality received from the third author. He is grateful to the Mathematics Department of WMU for covering local expenses and for the commitment to this global engagement.The third author visited Universidad de Sevilla several times at later stages of this research. He would like to thank the first and fourth authors for making possible this cooperation. He also acknowledges the Ministerio de Ciencia, Innovacion y Universidades for the sponsorship under Grant MTM 2015-6399-P, and the people at Instituto de Matematicas for the organization of his visits.es_ES
dc.formatapplication/pdfes_ES
dc.language.isoenges_ES
dc.publisherELSEVIERes_ES
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.sourceJ. Math.Anal.Appl.504(2021)125427es_ES
dc.subjectExtended eigenvaluees_ES
dc.subjectComposition operatores_ES
dc.subjectHardy spacees_ES
dc.subjectLinear fractional transformationes_ES
dc.titleExtended eigenvalues of composition operatorses_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.1016/j.jmaa.2021.125427
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO//MTM2015-63699-P/ES/ANALISIS COMPLEJO, ESPACIOS DE BANACH Y OPERADORES/es_ES


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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
This work is under a Creative Commons License Attribution-NonCommercial-NoDerivatives 4.0 Internacional