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Multiple summing operators on C(k) spaces

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dc.contributor.authorVillanueva Díez, Ignacio
dc.contributor.authorPérez García, David
dc.date.accessioned2023-06-20T09:25:20Z
dc.date.available2023-06-20T09:25:20Z
dc.date.issued2004-04
dc.description.abstractIn this paper, we characterize, for 1 ≤ p <∞, the multiple (p, 1)-summing multilinear operators on the product of C(K) spaces in terms of their representing polymeasures. As consequences, we obtain a new characterization of (p, 1)-summing linear operators on C(K) in terms of their representing measures and a new multilinear characterization of L∞ spaces. We also solve a problem stated by M.S. Ramanujan and E. Schock, improve a result of H.P. Rosenthal and S.J. Szarek and give new results about polymeasures.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/11657
dc.identifier.doi10.1007/BF02385583
dc.identifier.issn1871-2487
dc.identifier.officialurlhttp://www.arkivformatematik.org/
dc.identifier.relatedurlhttp://www.springerlink.com/content/0004-2080
dc.identifier.relatedurlhttp://www.arkivformatematik.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/49446
dc.issue.number1
dc.journal.titleArkiv för Matematik
dc.language.isoeng
dc.page.final171
dc.page.initial153
dc.publisherSpringer Verlag
dc.relation.projectID(BMF2001-1284)
dc.rights.accessRightsopen access
dc.subject.cdu517
dc.subject.keywordMultiple (q
dc.subject.keywordp)-summing mappings
dc.subject.keywordIntegral multilinear mappings
dc.subject.keywordPolymeasures
dc.subject.keywordP-summing operators
dc.subject.ucmAnálisis matemático
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titleMultiple summing operators on C(k) spacesen
dc.typejournal article
dc.volume.number42
dspace.entity.typePublication
relation.isAuthorOfPublication45785a65-66ff-415c-a422-bfdc6e3ff149
relation.isAuthorOfPublication5edb2da8-669b-42d1-867d-8fe3144eb216
relation.isAuthorOfPublication.latestForDiscovery5edb2da8-669b-42d1-867d-8fe3144eb216

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