2008/07/24 by Jesús Araujo, Jesus Araujo, Araujo, Jesus +2
Mathematics · #Advanced Banach Space Theory #Advanced Topology and Set Theory #Homotopy and Cohomology in Algebraic Topology #math.FA #msc:46E40 #msc:46H40 #msc:47B33 #msc:47B38
paper · pdf · doi:10.48550/arxiv.0807.3835
17 pages; no figures
arxiv created 2008/07/24 · arxiv updated 2009/12/01
For 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.