Operators acting in sequence spaces generated by dual Banach spaces of discrete Cesàro spaces
| dc.contributor.affiliation | Departamento de Matemática Aplicada | |
| dc.contributor.affiliation | Escuela Técnica Superior de Arquitectura | |
| dc.contributor.affiliation | Instituto Universitario de Matemática Pura y Aplicada | |
| dc.contributor.author | Bonet Solves, José Antonio | |
| dc.contributor.author | Ricker, Werner J. | es_ES |
| dc.contributor.funder | GENERALITAT VALENCIANA | es_ES |
| dc.contributor.funder | AGENCIA ESTATAL DE INVESTIGACION | 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.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. | en_EN |
| dc.description.accrualMethod | S | 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.issue | 1 | 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 |
| 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.description.upvformatpfin | 139 | es_ES |
| dc.description.upvformatpinicio | 109 | es_ES |
| dc.description.volume | 64 | es_ES |
| dc.identifier.doi | 10.7169/facm/1907 | es_ES |
| dc.identifier.issn | 0208-6573 | es_ES |
| dc.identifier.uri | https://riunet.upv.es/handle/10251/183894 | |
| dc.language | Inglés | es_ES |
| dc.publisher | Adam Mickiewicz University | es_ES |
| dc.relation.ispartof | Functiones et Approximatio Commentarii Mathematici | es_ES |
| dc.relation.pasarela | S\451207 | es_ES |
| dc.relation.projectID | info:eu-repo/grantAgreement/AEI//MTM2016-76647-P//ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y ANALISIS TIEMPO-FRECUENCIA/ | es_ES |
| dc.relation.projectID | info:eu-repo/grantAgreement/GVA//PROMETEO%2F2017%2F102//ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y APLICACIONES./ | es_ES |
| dc.relation.publisherversion | https://doi.org/10.7169/facm/1907 | es_ES |
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| dc.rights | Reserva de todos los derechos | es_ES |
| dc.rights.accessRights | Cerrado | 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.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
| dspace.entity.type | Publication | |
| person.identifier | 4043 | |
| person.identifier.orcid | 0000-0002-9096-6380 | |
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