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dc.contributor.author | Bonet Solves, José Antonio | es_ES |
dc.contributor.author | RICKER, WERNER | es_ES |
dc.date.accessioned | 2021-02-12T04:31:01Z | |
dc.date.available | 2021-02-12T04:31:01Z | |
dc.date.issued | 2020-03 | es_ES |
dc.identifier.issn | 0026-9255 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/161155 | |
dc.description.abstract | [EN] The discrete Cesaro (Banach) sequence spaces ces(r),1<r<infinity, have been thoroughly investigated for over 45 years. Not so for their dual spaces d(s) approximately equal to (ces(r))', which are somewhat unwieldy. Our aim is to undertake a further study of the spaces d(s) and of various operators acting between these spaces. It is shown that d(s)subset of d(t) whenever s <= t, with the inclusion being compact if s<t.The classical Cesaro operator C is continuous from d(s) into d(t) precisely when s <= t and compact precisely when s<t. Moreover, C even maps the larger space ces(s) continuously into d(s). This is a consequence of the Hardy-Littlewood maximal theorem and the remarkable property, for each 1<s<infinity, that x is an element of CN if and only if C(|x|)is an element of d(s). These results are used to analyze the spectrum and to determine the norm and the mean ergodicity of C acting in d(s). Similar properties for multiplier operators are also treated. | es_ES |
dc.description.sponsorship | The research of Prof. Jose Bonet was partially supported by the projects MTM 2016-76647-P and GV Prometeo 2017/102 (Spain). | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | Springer-Verlag | es_ES |
dc.relation.ispartof | Monatshefte für Mathematik | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Banach sequence space | es_ES |
dc.subject | Cesaro operator | es_ES |
dc.subject | Regular operator | es_ES |
dc.subject | Multiplier | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Operators acting in the dual spaces of discrete Cesàro spaces | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1007/s00605-020-01370-2 | 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/GVA//PROMETEO%2F2017%2F102/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y APLICACIONES/ | 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 | Bonet Solves, JA.; Ricker, W. (2020). Operators acting in the dual spaces of discrete Cesàro spaces. Monatshefte für Mathematik. 191(3):487-512. https://doi.org/10.1007/s00605-020-01370-2 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.1007/s00605-020-01370-2 | es_ES |
dc.description.upvformatpinicio | 487 | es_ES |
dc.description.upvformatpfin | 512 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 191 | es_ES |
dc.description.issue | 3 | es_ES |
dc.relation.pasarela | S\405035 | es_ES |
dc.contributor.funder | Generalitat Valenciana | es_ES |
dc.contributor.funder | Ministerio de Economía y Competitividad | es_ES |
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