dc.creator | Delgado Garrido, Olvido | es |
dc.date.accessioned | 2021-01-11T08:58:22Z | |
dc.date.available | 2021-01-11T08:58:22Z | |
dc.date.issued | 2014 | |
dc.identifier.citation | Delgado Garrido, O. (2014). Optimal extensions for positive order continuous operators on Banach functions spaces. Glasgow Mathematical Journal, 56 (3), 481-501. | |
dc.identifier.issn | 0017-0895 | es |
dc.identifier.uri | https://hdl.handle.net/11441/103503 | |
dc.description.abstract | In this paper we give conditions under which a positive order
continuous operator T defined on a Banach function space can be extended, preserving
the order continuity in a certain optimal way. The optimal domain for T turns out to
be a space of weakly integrable functions with respect to a vector measure (defined on
a δ-ring) canonically associated to T. A similar result is obtained when T is σ-order
continuous and we want to preserve the σ-order continuity. We apply these results to
kernel operators. | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad MTM2012-36732- C03-03 | es |
dc.description.sponsorship | Junta de Andalucía FQM-262 | es |
dc.description.sponsorship | Junta de Andalucía FQM-4643 | es |
dc.description.sponsorship | Junta de Andalucía FQM-7276 | es |
dc.format | application/pdf | es |
dc.format.extent | 21 | es |
dc.language.iso | eng | es |
dc.publisher | Cambridge University Press | es |
dc.relation.ispartof | Glasgow Mathematical Journal, 56 (3), 481-501. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Optimal extensions for positive order continuous operators on Banach functions spaces | 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 | MTM2012-36732- C03-03 | es |
dc.relation.projectID | FQM-262 | es |
dc.relation.projectID | FQM-4643 | es |
dc.relation.projectID | FQM-7276 | es |
dc.relation.publisherversion | https://www.cambridge.org/core/journals/glasgow-mathematical-journal/article/optimal-extensions-for-positive-order-continuous-operators-on-banach-function-spaces/615FB57CEACFE386FE87E115DB3CACD1 | es |
dc.identifier.doi | 10.1017/S0017089513000384 | es |
dc.journaltitle | Glasgow Mathematical Journal | es |
dc.publication.volumen | 56 | es |
dc.publication.issue | 3 | es |
dc.publication.initialPage | 481 | es |
dc.publication.endPage | 501 | es |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO). España | es |
dc.contributor.funder | Junta de Andalucía | es |