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arXiv · 2204.12529

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

Antonio Avilés·Gonzalo Martínez-Cervantes·Abraham Rueda Zoca·Pedro Tradacete
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Abstract

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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Antonio Avilés, Gonzalo Martínez-Cervantes, Abraham Rueda Zoca, Pedro Tradacete. 2022-04-26. Infinite dimensional spaces in the set of strongly norm-attaining Lipschitz maps. https://arxiv.org/abs/2204.12529

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