Extensions of Lipschitz functions and Grothendieck's BAP
نویسندگان
چکیده
A metric compact space M is seen as the closure of the union of a sequence (Mn) of finite n-dense subsets. Extending to M (up to a vanishing uniform distance) Banach-space valued Lipschitz functions defined on Mn, or defining linear continuous near-extension operators for real-valued Lipschitz functions on Mn, uniformly on n is shown to be equivalent to the bounded approximation property for the Lipschitz-free space F (M) over M. Several consequences are spelled out.
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