Antonio Avil'es, Gonzalo Mart'inez-Cervantes, A. R. Zoca, P. Tradacete
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Infinite dimensional spaces in the set of strongly norm-attaining Lipschitz maps
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.
期刊介绍:
Revista Matemática Iberoamericana publishes original research articles on all areas of mathematics. Its distinguished Editorial Board selects papers according to the highest standards. Founded in 1985, Revista is a scientific journal of Real Sociedad Matemática Española.