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Multiplier and averaging operators in the Banach spaces ces(p), 1<p< infty

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Multiplier and averaging operators in the Banach spaces ces(p), 1<p< infty

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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 J. es_ES
dc.date.accessioned 2021-01-30T04:31:50Z
dc.date.available 2021-01-30T04:31:50Z
dc.date.issued 2019-02 es_ES
dc.identifier.issn 1385-1292 es_ES
dc.identifier.uri http://hdl.handle.net/10251/160314
dc.description.abstract [EN] The Banach sequence spaces ces(p) are generated in a specified way via the classical spaces p,1<p<. For each pair 1<p,q< the (p,q)-multiplier operators from ces(p) into ces(q) are known. We determine precisely which of these multipliers is a compact operator. Moreover, for the case of p=q a complete description is presented of those (p,p)-multiplier operators which are mean (resp. uniform mean) ergodic. A study is also made of the linear operator C which maps a numerical sequence to the sequence of its averages. All pairs 1<p,q< are identified for which C maps ces(p) into ces(q) and, amongst this collection, those which are compact. For p=q, the mean ergodic properties of C are also treated. es_ES
dc.description.sponsorship The research of the first two authors was partially supported by the Project MTM2016-76647-P (Spain). The second author thanks the Mathematics Department of the Katholische Universitat Eichstatt-Ingolstadt (Germany) for its support and hospitality during his research visit in the period September 2016-July 2017. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Positivity es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Banach sequence spaces ces(p) es_ES
dc.subject Multiplier es_ES
dc.subject Compact operator es_ES
dc.subject Cesaro operator es_ES
dc.subject Mean ergodic operator es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Multiplier and averaging operators in the Banach spaces ces(p), 1<p< infty es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s11117-018-0601-6 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEO%2F2017%2F102/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y APLICACIONES/ 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.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, AA.; Bonet Solves, JA.; Ricker, WJ. (2019). Multiplier and averaging operators in the Banach spaces ces(p), 1<p< infty. Positivity. 23(1):177-193. https://doi.org/10.1007/s11117-018-0601-6 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s11117-018-0601-6 es_ES
dc.description.upvformatpinicio 177 es_ES
dc.description.upvformatpfin 193 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 23 es_ES
dc.description.issue 1 es_ES
dc.relation.pasarela S\378840 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
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