dc.creator | Delgado Garrido, Olvido | es |
dc.creator | Sánchez Pérez, Azahara | es |
dc.date.accessioned | 2019-05-28T05:48:13Z | |
dc.date.available | 2019-05-28T05:48:13Z | |
dc.date.issued | 2016-12 | |
dc.identifier.citation | Delgado Garrido, O. y Sánchez Pérez, A. (2016). Strong extensions for q-summing operators acting in p-convex Banach function spaces for 1 ≤ p ≤ q. Posity, 20 (4), 1-18. | |
dc.identifier.issn | 1385-1292 | es |
dc.identifier.uri | https://hdl.handle.net/11441/86877 | |
dc.description.abstract | Let 1 ≤ p ≤ q < ∞ and let X be a p-convex Banach function space over a σ-finite measure μ. We combine the structure of the spaces L p(μ) and Lq (ξ ) for constructing the new space S q X p (ξ ), where ξ is a probability Radon measure on a certain compact set associated to X. We show some of its properties, and the relevant fact that every q-summing operator T defined on X can be continuously (strongly)
extended to S q X p (ξ ). Our arguments lead to a mixture of the Pietsch and MaureyRosenthal factorization theorems, which provided the known (strong) factorizations for q-summing operators through Lq -spaces when 1 ≤ q ≤ p. Thus, our result completes the picture, showing what happens in the complementary case 1 ≤ p ≤ q. | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Posity, 20 (4), 1-18. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Operator | es |
dc.subject | Extension | es |
dc.subject | Factorization | es |
dc.subject | p-convex | es |
dc.subject | q-summing | es |
dc.title | Strong extensions for q-summing operators acting in p-convex Banach function spaces for 1 ≤ p ≤ q | es |
dc.type | info:eu-repo/semantics/article | es |
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-7276 | es |
dc.relation.publisherversion | https://link.springer.com/content/pdf/10.1007%2Fs11117-016-0397-1.pdf | es |
dc.identifier.doi | 10.1007/s11117-016-0397-1 | es |
dc.contributor.group | Universidad de Sevilla. FQM262: Teoría de la Aproximación | es |
idus.format.extent | 18 | es |
dc.journaltitle | Posity | es |
dc.publication.volumen | 20 | es |
dc.publication.issue | 4 | es |
dc.publication.initialPage | 1 | es |
dc.publication.endPage | 18 | es |