Author

Felipe Vico

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Preprint Sep 2026

The unique predual problem for Lipschitz spaces, revisited

In his 2018 paper ``On the unique predual problem for Lipschitz spaces'', N. Weaver published proofs that Banach spaces $\mathrm{Lip}_0(M)$ of Lipschitz functions on a complete metric space $M$ have strongly unique preduals whenever $M$ has finite diameter or is geodesic. A gap was recently noticed in the proof of a cr...

Ramón J. Aliaga, Felipe Vico · 0 citations

Preprint Sep 2026

Lipschitz-free spaces are strongly unique preduals

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 paths in $M$ and the...

Ramón J. Aliaga, Marek Cúth, Felipe Vico · 0 citations