Integral mappings between Banach spaces
dc.contributor.author | Villanueva Díez, Ignacio | |
dc.date.accessioned | 2023-06-20T16:46:28Z | |
dc.date.available | 2023-06-20T16:46:28Z | |
dc.date.issued | 2003 | |
dc.description.abstract | We consider the classes of “Grothendieck-integral” (G-integral)and “Pietsch-integral” (P-integral) linear and multilinear operators (see definitions below), and we prove that a multilinear operator between Banach spaces is G-integral (resp. P-integral) if and only if its linearization is G-integral (resp. P-integral) on the injective tensor product of the spaces, together with some related results concerning certain canonically associated linear operators. As an application we give a new proof of a result on the Radon-Nikodym property of the dual of the injective tensor product of Banach spaces. Moreover, we give a simple proof of a characterization of the G-integral operators on C(K,X) spaces and we also give a partial characterization of P-integral operators on C(K,X) spaces. | en |
dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
dc.description.faculty | Fac. de Ciencias Matemáticas | |
dc.description.refereed | TRUE | |
dc.description.sponsorship | DGICYT | |
dc.description.status | pub | |
dc.eprint.id | https://eprints.ucm.es/id/eprint/11653 | |
dc.identifier.citation | Villanueva Díez, I. «Integral Mappings between Banach Spaces». Journal of Mathematical Analysis and Applications, vol. 279, n.o 1, marzo de 2003, pp. 56-70. DOI.org (Crossref), https://doi.org/10.1016/S0022-247X(02)00362-1. | |
dc.identifier.doi | 10.1016/S0022-247X(02)00362-1 | |
dc.identifier.issn | 0022-247X | |
dc.identifier.officialurl | https//doi.org/10.1016/S0022-247X(02)00362-1 | |
dc.identifier.relatedurl | http://www.sciencedirect.com/science/article/pii/S0022247X02003621 | |
dc.identifier.uri | https://hdl.handle.net/20.500.14352/56944 | |
dc.issue.number | 1 | |
dc.journal.title | Journal of Mathematical Analysis and Applications | |
dc.language.iso | eng | |
dc.page.final | 70 | |
dc.page.initial | 56 | |
dc.publisher | Elsevier | |
dc.relation.projectID | PB97-0240 | |
dc.rights.accessRights | open access | |
dc.subject.cdu | 517 | |
dc.subject.cdu | 519.6 | |
dc.subject.keyword | Integral operators | |
dc.subject.keyword | Multilinear operators | |
dc.subject.keyword | Spaces of continuous functions | |
dc.subject.keyword | Injective tensor product | |
dc.subject.ucm | Análisis matemático | |
dc.subject.unesco | 1202 Análisis y Análisis Funcional | |
dc.title | Integral mappings between Banach spaces | en |
dc.type | journal article | |
dc.volume.number | 279 | |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | 45785a65-66ff-415c-a422-bfdc6e3ff149 | |
relation.isAuthorOfPublication.latestForDiscovery | 45785a65-66ff-415c-a422-bfdc6e3ff149 |
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