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Order spectrum of the Cesàro operator in Banach lattice sequence spaces

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Order spectrum of the Cesàro operator in Banach lattice sequence 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 2021-11-05T12:36:54Z
dc.date.available 2021-11-05T12:36:54Z
dc.date.issued 2020-07 es_ES
dc.identifier.issn 1385-1292 es_ES
dc.identifier.uri http://hdl.handle.net/10251/176110
dc.description.abstract [EN] The discrete Cesàro operator C acts continuously in various classical Banach sequence spaces within CN. For the coordinatewise order, many such sequence spaces X are also complex Banach lattices [eg. c0,¿p for 1<p¿¿, and ces(p) for p¿{0}¿(1,¿)]. In such Banach lattice sequence spaces, C is always a positive operator. Hence, its order spectrum is well defined within the Banach algebra of all regular operators on X. The purpose of this note is to show, for every X belonging to the above list of Banach lattice sequence spaces, that the order spectrum ¿o(C) of Ccoincides with its usual spectrum ¿(C) when C is considered as a continuous linear operator on the Banach space X. es_ES
dc.description.sponsorship The research of the first author (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 Springer-Verlag es_ES
dc.relation.ispartof Positivity es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Banach algebra es_ES
dc.subject Banach sequence space es_ES
dc.subject Cesàro operator es_ES
dc.subject Spectrum es_ES
dc.subject Order spectrum es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Order spectrum of the Cesàro operator in Banach lattice sequence spaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s11117-019-00699-9 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 Abierto 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. (2020). Order spectrum of the Cesàro operator in Banach lattice sequence spaces. Positivity. 24(3):593-603. https://doi.org/10.1007/s11117-019-00699-9 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s11117-019-00699-9 es_ES
dc.description.upvformatpinicio 593 es_ES
dc.description.upvformatpfin 603 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 24 es_ES
dc.description.issue 3 es_ES
dc.relation.pasarela S\427765 es_ES
dc.contributor.funder GENERALITAT VALENCIANA es_ES
dc.contributor.funder AGENCIA ESTATAL DE INVESTIGACION es_ES
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