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Lipschitz-free spaces are strongly unique preduals

Aliaga, Ramón J. et al.
arXiv (All) · Papers
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functional-analysis
We prove that the Lipschitz-free space $\mathcal{F}(M)$ is the strongly unique isometric predual of $\mathrm{Lip}_0(M)$ for every metric space $M$, solving a longstanding open problem of Weaver. The result is proved first for length metric spaces by analyzing the behavior of Lipschitz functions on p
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