A uniformly discrete counterexample to bounded approximation in Lipschitz-free spaces

Formal proof listed 1 paper September 26, 2026
What the paper claims, in its own words

Constructs a countable uniformly discrete metric space whose real Lipschitz-free Banach space has the approximation property but not the bounded approximation property, answering Kalton's question negatively. Finite-rank operators approximate the identity on every compact set, but their norms cannot share a finite bound.

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The original paper