An affirmative solution to the Lindenstrauss problem would affirmatively resolve multiple other open questions in the Lipschitz theory of Banach spaces.
Benjamini and J.Lindenstrauss, Geometric Nonlinear Functional Analysis, vol
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Implications of an affirmative solution to the Lindenstrauss Problem
An affirmative solution to the Lindenstrauss problem would affirmatively resolve multiple other open questions in the Lipschitz theory of Banach spaces.