Multiple summing operators on C(k) spaces
| dc.contributor.author | Villanueva Díez, Ignacio | |
| dc.contributor.author | Pérez García, David | |
| dc.date.accessioned | 2023-06-20T09:25:20Z | |
| dc.date.available | 2023-06-20T09:25:20Z | |
| dc.date.issued | 2004-04 | |
| dc.description.abstract | In 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.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Dirección General de Investigación Científica y Técnica (España) | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/11657 | |
| dc.identifier.doi | 10.1007/BF02385583 | |
| dc.identifier.issn | 1871-2487 | |
| dc.identifier.officialurl | http://www.arkivformatematik.org/ | |
| dc.identifier.relatedurl | http://www.springerlink.com/content/0004-2080 | |
| dc.identifier.relatedurl | http://www.arkivformatematik.org/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/49446 | |
| dc.issue.number | 1 | |
| dc.journal.title | Arkiv för Matematik | |
| dc.language.iso | eng | |
| dc.page.final | 171 | |
| dc.page.initial | 153 | |
| dc.publisher | Springer Verlag | |
| dc.relation.projectID | (BMF2001-1284) | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 517 | |
| dc.subject.keyword | Multiple (q | |
| dc.subject.keyword | p)-summing mappings | |
| dc.subject.keyword | Integral multilinear mappings | |
| dc.subject.keyword | Polymeasures | |
| dc.subject.keyword | P-summing operators | |
| dc.subject.ucm | Análisis matemático | |
| dc.subject.unesco | 1202 Análisis y Análisis Funcional | |
| dc.title | Multiple summing operators on C(k) spaces | en |
| dc.type | journal article | |
| dc.volume.number | 42 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 45785a65-66ff-415c-a422-bfdc6e3ff149 | |
| relation.isAuthorOfPublication | 5edb2da8-669b-42d1-867d-8fe3144eb216 | |
| relation.isAuthorOfPublication.latestForDiscovery | 5edb2da8-669b-42d1-867d-8fe3144eb216 |
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