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

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arxiv 2204.12529 v1 pith:NYQEBSD2 submitted 2022-04-26 math.FA

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

Antonio Avil\'es , Gonzalo Mart\'inez-Cervantes , Abraham Rueda Zoca , Pedro Tradacete This is my paper
classification math.FA
keywords infinitelipschitznorm-attainingstronglycompletecontainsdimensionalfunctions
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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. Rold\'an.

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