Asymptotic structure, l(p)-estimates of sequences, and compactness of multilinear mappings
| dc.contributor.author | Dimant, V. | |
| dc.contributor.author | Gonzalo, R. | |
| dc.contributor.author | Jaramillo Aguado, Jesús Ángel | |
| dc.date.accessioned | 2023-06-20T09:38:17Z | |
| dc.date.available | 2023-06-20T09:38:17Z | |
| dc.date.issued | 2009 | |
| dc.description.abstract | We relate the moduli of asymptotic uniform smoothness and convexity of a Banach space with the existence of upper and lower l(p)-estimates of sequences in the space. To this end, we introduce two properties which are related to the (m(p))-property defined by Kalton and Werner. In this way we obtain a connection between the moduli of asymptotic uniform smoothness and convexity, and compactness or weak-sequential continuity of multilinear mappings. Finally, we give some applications to the existence of analytic and asymptotically flat norms on a Banach space. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | D.G.I. (Spain) | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/16252 | |
| dc.identifier.doi | 10.1112/blms/bdp077 | |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0022247X08005143 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50087 | |
| dc.issue.number | 2 | |
| dc.journal.title | Journal of Mathematical Analysis and Applications | |
| dc.language.iso | eng | |
| dc.page.final | 693 | |
| dc.page.initial | 680 | |
| dc.publisher | Academic Press- Elsevier Science | |
| dc.relation.projectID | MTM2006-03531 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.98 | |
| dc.subject.keyword | Banach spaces | |
| dc.subject.keyword | Asymptotic structure | |
| dc.subject.keyword | Multilinear operators | |
| dc.subject.keyword | Polynomials | |
| dc.subject.ucm | Análisis funcional y teoría de operadores | |
| dc.title | Asymptotic structure, l(p)-estimates of sequences, and compactness of multilinear mappings | |
| dc.type | journal article | |
| dc.volume.number | 350 | |
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| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 8b6e753b-df15-44ff-8042-74de90b4e3e9 | |
| relation.isAuthorOfPublication.latestForDiscovery | 8b6e753b-df15-44ff-8042-74de90b4e3e9 |
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