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Operators acting in sequence spaces generated by dual Banach spaces of discrete Cesàro spaces

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Operators acting in sequence spaces generated by dual Banach spaces of discrete Cesàro spaces

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dc.contributor.author Bonet Solves, José Antonio es_ES
dc.contributor.author Ricker, Werner J. es_ES
dc.date.accessioned 2022-07-06T18:03:12Z
dc.date.available 2022-07-06T18:03:12Z
dc.date.issued 2021-03 es_ES
dc.identifier.issn 0208-6573 es_ES
dc.identifier.uri http://hdl.handle.net/10251/183894
dc.description.abstract [EN] The dual spaces d(p), 1 < p < infinity, of the discrete Cesaro (Banach) spaces ces(q), 1 < q < infinity, were studied by G. Bennett, A. Jagers and others. These (reflexive) dual Banach spaces induce the non-normable Frechet spaces d(p+) := boolean AND(r>p) d(r), for 1 <= p < infinity, and the (LB)-spaces d(p-) := boolean OR(1 < r < p) d(r), for 1< p <= infinity, recently introduced and investigated in [11]. Here a detailed study is made of various aspects, such as the spectrum, continuity, compactness, mean ergodicity and supercyclicity of the Cesàro operator, multiplication operators and inclusion operators when they act on (and between) such spaces. es_ES
dc.description.sponsorship The research of J. Bonet was partially supported by the projects MTM2016-76647-P and GV Prometeo/2017/102 (Spain). es_ES
dc.language Inglés es_ES
dc.publisher Adam Mickiewicz University es_ES
dc.relation.ispartof Functiones et Approximatio Commentarii Mathematici es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Fréchet sequence space es_ES
dc.subject (LB)-space es_ES
dc.subject Spectrum es_ES
dc.subject Multiplication operator es_ES
dc.subject Cesàro operator es_ES
dc.subject Mean ergodic operator es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Operators acting in sequence spaces generated by dual Banach spaces of discrete Cesàro spaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.7169/facm/1907 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AGENCIA ESTATAL DE INVESTIGACION//MTM2016-76647-P//ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y ANALISIS TIEMPO-FRECUENCIA/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GENERALITAT VALENCIANA//PROMETEO%2F2017%2F102//ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y APLICACIONES./ es_ES
dc.rights.accessRights Cerrado 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, WJ. (2021). Operators acting in sequence spaces generated by dual Banach spaces of discrete Cesàro spaces. Functiones et Approximatio Commentarii Mathematici. 64(1):109-139. https://doi.org/10.7169/facm/1907 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.7169/facm/1907 es_ES
dc.description.upvformatpinicio 109 es_ES
dc.description.upvformatpfin 139 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 64 es_ES
dc.description.issue 1 es_ES
dc.relation.pasarela S\451207 es_ES
dc.contributor.funder GENERALITAT VALENCIANA es_ES
dc.contributor.funder AGENCIA ESTATAL DE INVESTIGACION es_ES
dc.description.references [1] A.A. Albanese, J. Bonet, W.J. Ricker, <i>Montel resolvents and uniformly mean ergodic semigroups of linear operators,</i> Quaest. Math. <b>36</b> (2013), 253–290. es_ES
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dc.description.references [3] A.A. Albanese, J. Bonet, W.J. Ricker, <i>The Fréchet spaces $\mathrm{ces} (p+), 1 \leq p \lt \infty$,</i> J. Math. Anal. Appl. <b>458</b> (2018), 1314–1323. es_ES
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dc.description.references [7] A.A. Albanese, J. Bonet, W.J. Ricker, <i>Linear operators on the (LB)-sequence spaces $\mathrm{ces} (p-), 1 \lt p ≤ \infty$,</i> Descriptive topology and functional analysis II, Springer, Cham, Proc. Math. Stat. <b>286</b> (2019), 43–67. es_ES


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