dc.creator | Calabuig, J. M. | es |
dc.creator | Delgado Garrido, Olvido | es |
dc.creator | Sánchez Pérez, E. A. | es |
dc.date.accessioned | 2021-01-07T11:03:27Z | |
dc.date.available | 2021-01-07T11:03:27Z | |
dc.date.issued | 2010 | |
dc.identifier.citation | Calabuig, J.M., Delgado Garrido, O. y Sánchez Pérez, E.A. (2010). Factorizing operators on Banach function spaces through spaces of multiplication operators. Journal of Mathematical Analysis and Applications, 364 (1), 88-103. | |
dc.identifier.issn | 0022-247X | es |
dc.identifier.uri | https://hdl.handle.net/11441/103436 | |
dc.description.abstract | In order to extend the theory of optimal domains for continuous operators on a Banach
function space X(μ) over a finite measure μ, we consider operators T satisfying other type
of inequalities than the one given by the continuity which occur in several well-known
factorization theorems (for instance, Pisier Factorization Theorem through Lorentz spaces,
pth-power factorable operators . . . ). We prove that such a T factorizes through a space of
multiplication operators which can be understood in a certain sense as the optimal domain
for T . Our extended optimal domain technique does not need necessarily the equivalence
between μ and the measure defined by the operator T and, by using δ-rings, μ is allowed
to be infinite. Classical and new examples and applications of our results are also given,
including some new results on the Hardy operator and a factorization theorem through
Hilbert spaces. | es |
dc.description.sponsorship | Generalitat Valenciana TSGD-07 | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia MTM2006-13000-C03-01 | es |
dc.format | application/pdf | es |
dc.format.extent | 16 | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Mathematical Analysis and Applications, 364 (1), 88-103. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Banach function spaces | es |
dc.subject | Factorization of operators | es |
dc.subject | Multiplication operators | es |
dc.subject | Vector measures | es |
dc.title | Factorizing operators on Banach function spaces through spaces of multiplication operators | 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 | TSGD-07 | es |
dc.relation.projectID | MTM2006-13000-C03-01 | es |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0022247X09008543 | es |
dc.identifier.doi | 10.1016/j.jmaa.2009.10.034 | es |
dc.journaltitle | Journal of Mathematical Analysis and Applications | es |
dc.publication.volumen | 364 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 88 | es |
dc.publication.endPage | 103 | es |
dc.identifier.sisius | 6696232 | |
dc.contributor.funder | Generalitat Valenciana | es |
dc.contributor.funder | Ministerio de Educación y Ciencia (MEC). España | es |