Infinite dimensional spaces in the set of strongly norm-attaining Lipschitz maps
Antonio Avilés
Universidad de Murcia, SpainGonzalo Martínez-Cervantes
Universidad de Alicante, SpainAbraham Rueda Zoca
Universidad de Granada, SpainPedro Tradacete
Instituto de Ciencias Matemáticas (ICMAT), Madrid, Spain
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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 Ó. Roldán.
Cite this article
Antonio Avilés, Gonzalo Martínez-Cervantes, Abraham Rueda Zoca, Pedro Tradacete, Infinite dimensional spaces in the set of strongly norm-attaining Lipschitz maps. Rev. Mat. Iberoam. 40 (2024), no. 1, pp. 189–200
DOI 10.4171/RMI/1425