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The approximation property for spaces of Lipschitz functions with the bounded weak* topology
dc.contributor.author | Jiménez Vargas, Antonio | |
dc.date.accessioned | 2024-05-22T11:35:43Z | |
dc.date.available | 2024-05-22T11:35:43Z | |
dc.date.issued | 2016-01-10 | |
dc.identifier.citation | Rev. Mat. Iberoam. 34 (2018), no. 2, 637–654 | es_ES |
dc.identifier.issn | 0213-2230 | |
dc.identifier.uri | http://hdl.handle.net/10835/16535 | |
dc.description.abstract | Let X be a pointed metric space and let Lip_0(X) be the space of all scalar-valued Lipschitz functions on X which vanish at the basepoint. We prove that Lip_0(X) with the bounded weak* topology τ_{bw∗} has the approximation property if and only if the Lipschitz-free Banach space F(X) has the approximation property if and only if, for each Banach space F, each Lipschitz operator from X into F can be approximated by Lipschitz finite-rank operators within the unique locally convex topology \gamma\tau_{\gamma} on Lip_0(X,F) such that the Lipschitz transpose mapping f→f^t is a topological isomorphism from (Lip_(X,F),\gamma\tau_{\gamma}) to (Lip_0(X), τ_{bw∗})\epsilon F . | es_ES |
dc.language.iso | en | es_ES |
dc.publisher | European Mathematical Society | es_ES |
dc.rights | Attribution-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nd/4.0/ | * |
dc.subject | Lipschitz spaces | es_ES |
dc.subject | Approximation property | es_ES |
dc.subject | Tensor product | es_ES |
dc.subject | epsilon product | es_ES |
dc.title | The approximation property for spaces of Lipschitz functions with the bounded weak* topology | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.relation.publisherversion | doi 10.4171/rmi/999 | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MTM2014-58984-P | es_ES |