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Integral mappings between Banach spaces

dc.contributor.authorVillanueva Díez, Ignacio
dc.date.accessioned2023-06-20T16:46:28Z
dc.date.available2023-06-20T16:46:28Z
dc.date.issued2003
dc.description.abstractWe 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.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipDGICYT
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/11653
dc.identifier.citationVillanueva 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.doi10.1016/S0022-247X(02)00362-1
dc.identifier.issn0022-247X
dc.identifier.officialurlhttps//doi.org/10.1016/S0022-247X(02)00362-1
dc.identifier.relatedurlhttp://www.sciencedirect.com/science/article/pii/S0022247X02003621
dc.identifier.urihttps://hdl.handle.net/20.500.14352/56944
dc.issue.number1
dc.journal.titleJournal of Mathematical Analysis and Applications
dc.language.isoeng
dc.page.final70
dc.page.initial56
dc.publisherElsevier
dc.relation.projectIDPB97-0240
dc.rights.accessRightsopen access
dc.subject.cdu517
dc.subject.cdu519.6
dc.subject.keywordIntegral operators
dc.subject.keywordMultilinear operators
dc.subject.keywordSpaces of continuous functions
dc.subject.keywordInjective tensor product
dc.subject.ucmAnálisis matemático
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titleIntegral mappings between Banach spacesen
dc.typejournal article
dc.volume.number279
dspace.entity.typePublication
relation.isAuthorOfPublication45785a65-66ff-415c-a422-bfdc6e3ff149
relation.isAuthorOfPublication.latestForDiscovery45785a65-66ff-415c-a422-bfdc6e3ff149

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