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Maximal Banach ideals of Lipschitz maps
dc.contributor.author | Cabrera Padilla, María de Gádor | |
dc.contributor.author | Chávez Domínguez, Javier Alejandro | |
dc.contributor.author | Jiménez Vargas, Antonio | |
dc.contributor.author | Villegas Vallecillos, Moisés | |
dc.date.accessioned | 2024-03-05T11:24:21Z | |
dc.date.available | 2024-03-05T11:24:21Z | |
dc.date.issued | 2016 | |
dc.identifier.issn | 2008-8752 | |
dc.identifier.uri | http://hdl.handle.net/10835/16120 | |
dc.description.abstract | There are known results showing a canonical association between Lipschitz cross-norms (norms on the Lipschitz tensor product of a metric space and a Banach space) and ideals of Lipschitz maps from a metric space to a dual Banach space. We extend this association, relating Lipschitz cross-norms to ideals of Lipschitz maps taking values in general Banach spaces. To do that, we prove a Lipschitz version of the representation theorem for maximal operator ideals. As a consequence, we obtain linear characterizations of some ideals of (nonlinear) Lipschitz maps between metric spaces. | es_ES |
dc.language.iso | en | es_ES |
dc.publisher | Duke University Press | es_ES |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Lipschitz map | es_ES |
dc.subject | Tensor product | es_ES |
dc.subject | p-summing operator | es_ES |
dc.subject | Duality | es_ES |
dc.subject | Ideal | es_ES |
dc.title | Maximal Banach ideals of Lipschitz maps | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
dc.identifier.doi | 10.1215/20088752-3661620 |