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Duality for 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 | 2024-03-01T09:05:29Z | |
dc.date.available | 2024-03-01T09:05:29Z | |
dc.date.issued | 2017 | |
dc.identifier.issn | 1735-8787 | |
dc.identifier.uri | http://hdl.handle.net/10835/16082 | |
dc.description.abstract | We develop a systematic approach to the study of ideals of Lipschitz maps from a metric space to a Banach space, inspired by the classical theory on using Lipschitz tensor products to relate ideals of operator/tensor norms for Banach spaces. We study spaces of Lipschitz maps from a metric space to a dual Banach space that can be represented canonically as the dual of a Lipschitz tensor product endowed with a Lipschitz cross-norm, and we show that several known examples of ideals of Lipschitz maps (Lipschitz maps, Lipschitz p-summing maps, maps admitting Lipschitz factorization through subsets of Lp-space) admit such a representation. Generally, we characterize when the space of a Lipschitz map from a metric space to a dual Banach space is in canonical duality with a Lipschitz cross-norm. Finally, we introduce a concept of operators which are approximable with respect to one of these ideals of Lipschitz maps, and we identify them in terms of tensor-product notions. | 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 | Duality for 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 | 10.1215/17358787-3764290 |