On G(p)-classes of trilinear forms
| dc.contributor.author | Cobos Díaz, Fernando | |
| dc.contributor.author | Kuehn, Thomas | |
| dc.contributor.author | Peetre, Jaak | |
| dc.date.accessioned | 2023-06-20T16:51:25Z | |
| dc.date.available | 2023-06-20T16:51:25Z | |
| dc.date.issued | 1999 | |
| dc.description.abstract | In a previous paper, the authors laid the foundations of a theory of Schatten±von Neumann classes 'p (0!p%¢) of trilinear forms in Hilbert space. This paper continues that research. In the n-dimensional case, it is shown that the best constant d# that relates the Hilbert±Schmidt norm of a form with its bounded norm behaves like n. Some results are also obtained in the quasi-Banach case (0!p!1), and for twobounded forms. Finally, the domination problem is investigated in the trilinear set-up. | 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/15252 | |
| dc.identifier.doi | 10.1112/S0024610799007504 | |
| dc.identifier.issn | 0024-6107 | |
| dc.identifier.officialurl | https//doi.org/10.1112/S0024610799007504 | |
| dc.identifier.relatedurl | http://jlms.oxfordjournals.org/content/59/3/1003.full.pdf+html | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57244 | |
| dc.issue.number | 3 | |
| dc.journal.title | Journal of the London Mathematical Society. Second Series | |
| dc.language.iso | eng | |
| dc.page.final | 1022 | |
| dc.page.initial | 1003 | |
| dc.publisher | Oxford University Press | |
| dc.relation.projectID | PB94-0252 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.98 | |
| dc.subject.keyword | Two-boundedness | |
| dc.subject.keyword | Domination | |
| dc.subject.keyword | Schatten-von Neumann classes | |
| dc.subject.keyword | Trilinear forms | |
| dc.subject.keyword | Quasi-Banach case | |
| dc.subject.ucm | Análisis funcional y teoría de operadores | |
| dc.title | On G(p)-classes of trilinear forms | en |
| dc.type | journal article | |
| dc.volume.number | 59 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | ad35279f-f928-4b72-a5bd-e422662ac4c1 | |
| relation.isAuthorOfPublication.latestForDiscovery | ad35279f-f928-4b72-a5bd-e422662ac4c1 |
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