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Operators on the Fréchet sequence space ces(p+), $1 \leq p < \infty$

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Operators on the Fréchet sequence space ces(p+), $1 \leq p < \infty$

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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 2021-01-28T04:32:13Z
dc.date.available 2021-01-28T04:32:13Z
dc.date.issued 2019-04 es_ES
dc.identifier.issn 1578-7303 es_ES
dc.identifier.uri http://hdl.handle.net/10251/160090
dc.description.abstract [EN] The Fréchet sequence spaces ces(p+) are very different to the Fréchet sequence spaces ¿p+,1¿p<¿, that generate them, (Albanese et al. in J Math Anal Appl 458:1314¿1323, 2018). The aim of this paper is to investigate various properties (eg. continuity, compactness, mean ergodicity) of certain linear operators acting in and between the spaces ces(p+), such as the Cesàro operator, inclusion operators and multiplier operators. Determination of the spectra of such classical operators is an important feature. It turns out that both the space of multiplier operators M(ces(p+)) and its subspace Mc(ces(p+)) consisting of the compact multiplier operators are independent of p. Moreover, Mc(ces(p+)) can be topologized so that it is the strong dual of the Fréchet¿Schwartz space ces(1+) and (Mc(ces(p+))¿ß¿ces(1+) is a proper subspace of the Köthe echelon Fréchet space M(ces(p+))=¿¿(A),1¿p<¿, for a suitable matrix A es_ES
dc.description.sponsorship The research of the first two authors was partially supported by the projects MTM2016-76647-P and GV Prometeo/2017/102 (Spain). The authors are thankful to the referees for their careful reading of the manuscript and their suggestions which improved the presentation of the article. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Fréchet space es_ES
dc.subject Sequence space ces(p+) es_ES
dc.subject Spectrum es_ES
dc.subject Multiplier 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 on the Fréchet sequence space ces(p+), $1 \leq p < \infty$ es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s13398-018-0564-2 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 Albanese, AA.; Bonet Solves, JA.; Ricker, WJ. (2019). Operators on the Fréchet sequence space ces(p+), $1 \leq p < \infty$. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 113(2):1533-1556. https://doi.org/10.1007/s13398-018-0564-2 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s13398-018-0564-2 es_ES
dc.description.upvformatpinicio 1533 es_ES
dc.description.upvformatpfin 1556 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 113 es_ES
dc.description.issue 2 es_ES
dc.relation.pasarela S\405018 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
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