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dc.contributor.author | Calabuig, J. M. | es_ES |
dc.contributor.author | Jiménez Fernández, Eduardo | es_ES |
dc.contributor.author | Juan Blanco, María Aránzazu | es_ES |
dc.contributor.author | Sánchez Pérez, Enrique Alfonso | es_ES |
dc.date.accessioned | 2018-03-28T13:39:49Z | |
dc.date.available | 2018-03-28T13:39:49Z | |
dc.date.issued | 2016 | es_ES |
dc.identifier.issn | 0166-8641 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/99863 | |
dc.description.abstract | [EN] Compactness type properties for operators acting in Banach function spaces are not always preserved when the operator is extended to a bigger space. Moreover, it is known that there exists a maximal (weakly) compact linear extension of a (weakly) compact operator if and only if its maximal continuous linear extension to its optimal domain is (weakly) compact. We show that the same happens if we consider AM-compactness for the operator, and we give some partial results regarding Dunford-Pettis operators. Narrow operators-considered as a family defined by a weak compactness type property-are also analyzed from this point of view. Finally, we provide some applications of the fact that an operator from a Banach function space extends to a narrow operator if and only if it is narrow. (C) 2015 Elsevier B.V. All rights reserved. | es_ES |
dc.description.sponsorship | J.M. Calabuig and M.A. Juan were supported by Ministerio de Economía y Competitividad (Spain) (project MTM2011-23164). E. Jiménez Fernández was supported by Junta de Andalucía and FEDER grant P09-FQM-4911 (Spain). E. Jiménez Fernández and E.A. Sánchez-Pérez were supported by Ministerio de Economía y Competitividad (Spain) (project MTM2012-36740-C02-02). | |
dc.language | Inglés | es_ES |
dc.publisher | Elsevier | es_ES |
dc.relation.ispartof | Topology and its Applications | es_ES |
dc.rights | Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) | es_ES |
dc.subject | Vector measures | es_ES |
dc.subject | Banach function space | es_ES |
dc.subject | AM-compact operator | es_ES |
dc.subject | Dunford-Pettis operator | es_ES |
dc.subject | Narrow operator | es_ES |
dc.subject | Optimal domain | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Optimal extensions of compactness properties for operators on Banach function spaces | es_ES |
dc.type | Artículo | es_ES |
dc.type | Comunicación en congreso | es_ES |
dc.identifier.doi | 10.1016/j.topol.2015.12.075 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2012-36740-C02-02/ES/Operadores multilineales, espacios de funciones integrables y aplicaciones/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MICINN//MTM2011-23164/ES/ANALISIS DE FOURIER MULTILINEAL, VECTORIAL Y SUS APLICACIONES/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.date.embargoEndDate | 2018-04-15 | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Calabuig, JM.; Jiménez Fernández, E.; Juan Blanco, MA.; Sánchez Pérez, EA. (2016). Optimal extensions of compactness properties for operators on Banach function spaces. Topology and its Applications. 203:57-66. https://doi.org/10.1016/j.topol.2015.12.075 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.conferencename | IX Iberoamerican Conference on Topology and its Applications (CITA-2014) | es_ES |
dc.relation.conferencedate | June 24-27,2014 | es_ES |
dc.relation.conferenceplace | Almería, Spain | es_ES |
dc.relation.publisherversion | http://doi.org/10.1016/j.topol.2015.12.075 | es_ES |
dc.description.upvformatpinicio | 57 | es_ES |
dc.description.upvformatpfin | 66 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 203 | es_ES |
dc.relation.pasarela | S\326656 | es_ES |
dc.contributor.funder | Ministerio de Ciencia e Innovación | es_ES |
dc.contributor.funder | Ministerio de Economía y Competitividad | es_ES |