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On the continuous Cesàro operator in certain function spaces

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On the continuous Cesàro operator in certain function spaces

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dc.contributor.author Albanese, Angela A. es_ES
dc.contributor.author Bonet Solves, José Antonio es_ES
dc.contributor.author Ricker, Werner Joseph es_ES
dc.date.accessioned 2016-10-05T14:36:43Z
dc.date.available 2016-10-05T14:36:43Z
dc.date.issued 2015
dc.identifier.issn 1385-1292
dc.identifier.uri http://hdl.handle.net/10251/71238
dc.description “The final publication is available at Springer via http://dx.doi.org/10.1007/s11117-014-0321-5" es_ES
dc.description.abstract Various properties of the (continuous) Cesàro operator C, acting on Banach and Fréchet spaces of continuous functions and L p-spaces, are investigated. For instance, the spectrum and point spectrum of C are completely determined and a study of certain dynamics of C is undertaken (eg. hyper- and supercyclicity, chaotic behaviour). In addition, the mean (and uniform mean) ergodic nature of C acting in the various spaces is identified. es_ES
dc.description.sponsorship The research of the first two authors was partially supported by the projects MTM2010-15200 and GVA Prometeo II/2013/013 (Spain). The second author gratefully acknowledges the support of the Alexander von Humboldt Foundation. en_EN
dc.language Inglés es_ES
dc.publisher Springer Verlag (Germany) es_ES
dc.relation.ispartof Positivity es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Cesàro operator es_ES
dc.subject Continuous function spaces es_ES
dc.subject Lp-spaces es_ES
dc.subject (Uniformly) mean ergodic operator es_ES
dc.subject Hypercyclic operator es_ES
dc.subject Supercyclic operator es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title On the continuous Cesàro operator in certain function spaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s11117-014-0321-5
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2010-15200/ES/METODOS DE ANALISIS FUNCIONAL PARA EL ANALISIS MATEMATICO/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEOII%2F2013%2F013/ES/Análisis funcional, teoría de operadores y sus aplicaciones (AFUNTOP)/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escuela Técnica Superior de Arquitectura - Escola Tècnica Superior d'Arquitectura es_ES
dc.contributor.affiliation Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada es_ES
dc.description.bibliographicCitation Albanese, AA.; Bonet Solves, JA.; Ricker, WJ. (2015). On the continuous Cesàro operator in certain function spaces. Positivity. 19:659-679. https://doi.org/10.1007/s11117-014-0321-5 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1007/s11117-014-0321-5 es_ES
dc.description.upvformatpinicio 659 es_ES
dc.description.upvformatpfin 679 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 19 es_ES
dc.relation.senia 300634 es_ES
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Alexander von Humboldt Foundation es_ES
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