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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 | 2018-09-17T07:36:48Z | |
dc.date.available | 2018-09-17T07:36:48Z | |
dc.date.issued | 2018 | es_ES |
dc.identifier.issn | 0022-247X | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/107410 | |
dc.description.abstract | [EN] The Banach spaces ces(p), 1 < p < infinity, were intensively studied by G. Bennett and others. The largest solid Banach lattice in C-N which contains l(p) and which the Cesaro operator C : C-N -> C-N maps into l(P) is ces(p). For each 1 <= p < infinity, the (positive) operator C also maps the Frechet space l(p+) = boolean AND(q > p) l(q) into itself. It is shown that the largest solid Frechet lattice in C-N which contains l(p+) and which C maps into l(p+) is precisely ces(p+) := boolean AND(q > p) ces(q). Although the spaces l(p+) are well understood, it seems that the spaces ces(p+) have not been considered at all. A detailed study of the Frechet spaces ces(p+),1 <= p < infinity, is undertaken. They are very different to the Frechet spaces l(p+) which generate them in the above sense. We prove that each ces(p+) is a power series space of finite type and order one, and that all the spaces ces(p+), 1 <= p < infinity, are isomorphic. (C) 2017 Elsevier Inc. All rights reserved. | es_ES |
dc.description.sponsorship | The authors thank the referee for a considerable simplification of some proofs in Section 3. 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. | |
dc.language | Inglés | es_ES |
dc.publisher | Elsevier | es_ES |
dc.relation.ispartof | Journal of Mathematical Analysis and Applications | es_ES |
dc.rights | Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) | es_ES |
dc.subject | Fréchet spaces | es_ES |
dc.subject | sequence spaces | es_ES |
dc.subject | power series spaces | es_ES |
dc.subject | Schwartz spaces | es_ES |
dc.subject | Fréchet lattices | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | The Fréchet space ces(p+), 1 < p < infty | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1016/j.jmaa.2017.10.024 | 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, A.; Bonet Solves, JA.; Ricker, WJ. (2018). The Fréchet space ces(p+), 1 < p < infty. Journal of Mathematical Analysis and Applications. 458(2):1314-1323. https://doi.org/10.1016/j.jmaa.2017.10.024 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://doi.org/10.1016/j.jmaa.2017.10.024 | es_ES |
dc.description.upvformatpinicio | 1314 | es_ES |
dc.description.upvformatpfin | 1323 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 458 | es_ES |
dc.description.issue | 2 | es_ES |
dc.relation.pasarela | S\351151 | es_ES |
dc.contributor.funder | Ministerio de Economía y Competitividad | es_ES |