Biseparating maps between Lipschitz function spaces

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dc.creatorAraujo, Jesus
dc.creatorDubarbie, Luis
dc.date2008-07-24
dc.date.accessioned2026-07-07T09:52:34Z
dc.date.available2026-07-07T09:52:34Z
dc.descriptionFor complete metric spaces $X$ and $Y$, a description of linear biseparating maps between spaces of vector-valued Lipschitz functions defined on $X$ and $Y$ is provided. In particular it is proved that $X$ and $Y$ are bi-Lipschitz homeomorphic, and the automatic continuity of such maps is derived in some cases. Besides, these results are used to characterize the separating bijections between scalar-valued Lipschitz function spaces when $Y$ is compact.
dc.description17 pages; no figures
dc.identifierhttps://arxiv.org/abs/0807.3835
dc.identifierhttp://arxiv.org/abs/0807.3835
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165643
dc.subjectFunctional Analysis
dc.subject47B38 (Primary); 46E40, 46H40, 47B33 (Secondary)
dc.titleBiseparating maps between Lipschitz function spaces
dc.typetext

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