Infinite dimensional spaces in the set of strongly norm-attaining Lipschitz maps

preprint2022arXivOpen access

We prove that if $M$ is an infinite complete metric space then the set of strongly norm-attaining Lipschitz functions $\SA(M)$ contains a linear subspace isomorphic to $c_0$ . This solves an open question posed by V. Kadets and O. Roldán.

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Infinite dimensional spaces in the set of strongly norm-attaining Lipschitz maps

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