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Integral operators on the product of C(K) spaces

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dc.contributor.authorVillanueva Díez, Ignacio
dc.contributor.authorBombal Gordon, Fernando
dc.date.accessioned2023-06-20T16:46:26Z
dc.date.available2023-06-20T16:46:26Z
dc.date.issued2001-12-01
dc.description.abstractWe study and characterize the integral multilinear operators on a product of C(K) spaces in terms of the representing polymeasure of the operator. Some applications are given. In particular, we characterize the Borel polymeasures that can be extended to a measure in the product ¾- algebra, generalizing previous results for bimeasures. We also give necessary conditions for the weak compactness of the extension of an integral multilinear operator on a product of C(K) spaces.en
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipDirección General de Investigación Científica y Técnica (España)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/11582
dc.identifier.citationBombal Gordon, F. & Villanueva Díez, I. «Integral Operators on the Product of C(K) Spaces». Journal of Mathematical Analysis and Applications, vol. 264, n.o 1, diciembre de 2001, pp. 107-21. DOI.org (Crossref), https://doi.org/10.1006/jmaa.2001.7648.
dc.identifier.doi10.1006/jmaa.2001.7648
dc.identifier.issn0022-247X
dc.identifier.officialurlhttps//doi.org/10.1006/jmaa.2001.7648
dc.identifier.relatedurlhttp://www.sciencedirect.com/science/article/pii/S0022247X01976486
dc.identifier.urihttps://hdl.handle.net/20.500.14352/56941
dc.issue.number1
dc.journal.titleJournal of Mathematical Analysis and Applications
dc.language.isoeng
dc.page.final121
dc.page.initial107
dc.publisherElsevier
dc.relation.projectIDPB97-0240
dc.rights.accessRightsopen access
dc.subject.cdu517
dc.subject.keywordIntegral multilinear operator
dc.subject.keywordRepresenting polymeasure
dc.subject.keywordSemivariation
dc.subject.keywordProduct of C(K) spaces
dc.subject.keywordWeak compactness
dc.subject.ucmAnálisis matemático
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titleIntegral operators on the product of C(K) spacesen
dc.typejournal article
dc.volume.number264
dspace.entity.typePublication
relation.isAuthorOfPublication45785a65-66ff-415c-a422-bfdc6e3ff149
relation.isAuthorOfPublicationae08a0bc-9b54-4bcb-b38e-d977d6955d7e
relation.isAuthorOfPublication.latestForDiscoveryae08a0bc-9b54-4bcb-b38e-d977d6955d7e

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