Infinite dimensional spaces in the set of strongly norm-attaining Lipschitz maps
Functional Analysis
2022-04-28 v1
Abstract
We prove that if is an infinite complete metric space then the set of strongly norm-attaining Lipschitz functions contains a linear subspace isomorphic to . This solves an open question posed by V. Kadets and O. Rold\'an.
Keywords
Cite
@article{arxiv.2204.12529,
title = {Infinite dimensional spaces in the set of strongly norm-attaining Lipschitz maps},
author = {Antonio Avilés and Gonzalo Martínez-Cervantes and Abraham Rueda Zoca and Pedro Tradacete},
journal= {arXiv preprint arXiv:2204.12529},
year = {2022}
}