dc.creator | Calabuig, J. M. | es |
dc.creator | Delgado Garrido, Olvido | es |
dc.creator | Juan, M. A. | es |
dc.creator | Sánchez Pérez, E. A. | es |
dc.date.accessioned | 2021-01-08T09:57:36Z | |
dc.date.available | 2021-01-08T09:57:36Z | |
dc.date.issued | 2014 | |
dc.identifier.citation | Calabuig, J.M., Delgado Garrido, O., Juan, M.A. y Sánchez Pérez, E.A. (2014). On the Banach lattice structure of L1w of a vector measure on a δ-ring. Collectanea Mathematica, 65, 67-85. | |
dc.identifier.issn | 2038-4815 | es |
dc.identifier.uri | https://hdl.handle.net/11441/103465 | |
dc.description.abstract | We study some Banach lattice properties of the space L1
w(ν) of weakly integrable
functions with respect to a vector measure ν defined on a δ-ring. Namely, we analyze order
continuity, order density and Fatou type properties. We will see that the behavior of L1
w(ν)
differs from the case in which ν is defined on a σ -algebra whenever ν does not satisfy
certain local σ -finiteness property. | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad MTM2009-12740-C03-02 | es |
dc.format | application/pdf | es |
dc.format.extent | 19 | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Collectanea Mathematica, 65, 67-85. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Banach lattice | es |
dc.subject | δ-ring | es |
dc.subject | Fatou property | es |
dc.subject | Order density | es |
dc.subject | Order continuity | es |
dc.subject | Integration with respect to vector measures | es |
dc.title | On the Banach lattice structure of L1w of a vector measure on a δ-ring | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.relation.projectID | MTM2009-12740-C03-02 | es |
dc.relation.publisherversion | https://link.springer.com/article/10.1007/s13348-013-0081-8 | es |
dc.identifier.doi | 10.1007/s13348-013-0081-8 | es |
dc.journaltitle | Collectanea Mathematica | es |
dc.publication.volumen | 65 | es |
dc.publication.initialPage | 67 | es |
dc.publication.endPage | 85 | es |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO). España | es |