Multilinear operators on C(K,X) spaces

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dc.contributor.authorVillanueva Díez, Ignacio
dc.date.accessioned2023-06-20T09:25:11Z
dc.date.available2023-06-20T09:25:11Z
dc.date.issued2004
dc.description.abstractGiven Banach spaces X, Y and a compact Hausdor_ space K, we use polymeasures to give necessary conditions for a multilinear operator from C(K;X) into Y to be completely continuous (resp. unconditionally converging). We deduce necessary and sufficient conditions for X to have the Schur property (resp. to contain no copy of c0), and for K to be scattered. This extends results concerning linear operators.en
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipDirectorate General for Higher Education (Portugal)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/11584
dc.identifier.citationVillanueva Díez, I. «Multilinear Operators on C(K, X) Spaces». Czechoslovak Mathematical Journal, vol. 54, n.o 1, marzo de 2004, pp. 31-54. DOI.org (Crossref), https://doi.org/10.1023/B:CMAJ.0000027245.95757.ee.
dc.identifier.doi10.1023/B:CMAJ.0000027245.95757.ee
dc.identifier.issn1572-9141
dc.identifier.officialurlhttps//doi.org/10.1023/B:CMAJ.0000027245.95757.ee
dc.identifier.relatedurlhttp://www.springerlink.com/content/106594/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/49431
dc.issue.number1
dc.journal.titleCzechoslovak Mathematical Journal
dc.language.isoeng
dc.page.final54
dc.page.initial31
dc.publisherMathematical Institute of the Academy of Sciences of the Czech Republic
dc.relation.projectIDPB97-0240.
dc.rights.accessRightsopen access
dc.subject.cdu517
dc.subject.keywordCompletely continuous
dc.subject.keywordUnconditionally converging
dc.subject.keywordMultilinear operators
dc.subject.keywordC(K
dc.subject.keywordX) spaces
dc.subject.ucmAnálisis matemático
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titleMultilinear operators on C(K,X) spacesen
dc.typejournal article
dc.volume.number54
dspace.entity.typePublication
relation.isAuthorOfPublication45785a65-66ff-415c-a422-bfdc6e3ff149
relation.isAuthorOfPublication.latestForDiscovery45785a65-66ff-415c-a422-bfdc6e3ff149

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