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dc.contributor.author | Albanese, Angela | es_ES |
dc.contributor.author | Bonet Solves, José Antonio | es_ES |
dc.contributor.author | Ricker, Werner J. | es_ES |
dc.date.accessioned | 2018-06-02T04:18:16Z | |
dc.date.available | 2018-06-02T04:18:16Z | |
dc.date.issued | 2018 | es_ES |
dc.identifier.issn | 0039-3223 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/103224 | |
dc.description.abstract | [EN] The discrete Cesaro operator C is investigated in the class of power series spaces Lambda(0) (alpha) of finite type. Of main interest is its spectrum, which is distinctly different in the cases when Lambda(0) (alpha) is nuclear and when it is not. Actually, the nuclearity of Lambda(0) (alpha) is characterized via certain properties of the spectrum of C. Moreover, C is always power bounded, uniformly mean ergodic, and whenever Lambda(0) (alpha) is nuclear, also (I - C)(m) (Lambda(0) (alpha)) is closed in Lambda(0) (alpha) for each m is an element of N. | es_ES |
dc.description.sponsorship | The research of the first two authors was partially supported by the projects MTM2013-43540-P, MTM2016-76647-P and GVA Prometeo II/2013/013. | |
dc.language | Inglés | es_ES |
dc.publisher | Institute of Mathematics, Polish Academy of Sciences | es_ES |
dc.relation.ispartof | Studia Mathematica | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Cesàro operator | es_ES |
dc.subject | Power series spaces of finite type | es_ES |
dc.subject | Spectrum | es_ES |
dc.subject | Fréchet space | es_ES |
dc.subject | Mean ergodicity | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | The Cesàro operator on power series spaces | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.4064/sm8590-2-2017 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2016-76647-P/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y ANALISIS TIEMPO-FRECUENCIA/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2013-43540-P/ES/METODOS DEL ANALISIS FUNCIONAL Y TEORIA DE OPERADORES/ | 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. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Albanese, A.; Bonet Solves, JA.; Ricker, WJ. (2018). The Cesàro operator on power series spaces. Studia Mathematica. 240(1):47-68. https://doi.org/10.4064/sm8590-2-2017 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://doi.org/10.4064/sm8590-2-2017 | es_ES |
dc.description.upvformatpinicio | 47 | es_ES |
dc.description.upvformatpfin | 68 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 240 | es_ES |
dc.description.issue | 1 | es_ES |
dc.relation.pasarela | S\351149 | es_ES |
dc.contributor.funder | Generalitat Valenciana | es_ES |
dc.contributor.funder | Ministerio de Economía y Competitividad | es_ES |