dc.creator | Curbera Costello, Guillermo | es |
dc.creator | Delgado Garrido, Olvido | es |
dc.creator | Ricker, Werner J. | es |
dc.date.accessioned | 2021-01-15T10:12:29Z | |
dc.date.available | 2021-01-15T10:12:29Z | |
dc.date.issued | 2009 | |
dc.identifier.citation | Curbera, G.P., Delgado Garrido, O. y Ricker, W.J. (2009). Vector measures: where are their integrals?. Positivity, 13 (1), 61-87. | |
dc.identifier.issn | 1385-1292 | es |
dc.identifier.uri | https://hdl.handle.net/11441/103784 | |
dc.description.abstract | Let ν be a vector measure with values in a Banach space Z. The integration map Iν:L1(ν)→Z, given by f↦∫fdν for f ∈ L 1(ν), always has a formal extension to its bidual operator I∗∗ν:L1(ν)∗∗→Z∗∗. So, we may consider the “integral” of any element f ** of L 1(ν)** as I **ν(f **). Our aim is to identify when these integrals lie in more tractable subspaces Y of Z **. For Z a Banach function space X, we consider this question when Y is any one of the subspaces of X ** given by the corresponding identifications of X, X′′ (the Köthe bidual of X) and X′* (the topological dual of the Köthe dual of X). Also, we consider certain kernel operators T and study the extended operator I **ν for the particular vector measure ν defined by ν(A) := T(χ A ). | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia MTM2006-13000-C03-01 | es |
dc.format | application/pdf | es |
dc.format.extent | 27 | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Positivity, 13 (1), 61-87. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Banach lattices and function spaces | es |
dc.subject | Vector measure | es |
dc.subject | Integration map | es |
dc.subject | Duality | es |
dc.title | Vector measures: where are their integrals? | 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 | MTM2006-13000-C03-01 | es |
dc.relation.publisherversion | https://link.springer.com/article/10.1007/s11117-008-2191-1 | es |
dc.identifier.doi | 10.1007/s11117-008-2191-1 | es |
dc.journaltitle | Positivity | es |
dc.publication.volumen | 13 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 61 | es |
dc.publication.endPage | 87 | es |
dc.identifier.sisius | 6612435 | |
dc.contributor.funder | Ministerio de Educación y Ciencia (MEC). España | es |