JournalsrmiVol. 40, No. 1pp. 189–200

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

  • Antonio Avilés

    Universidad de Murcia, Spain

  • Gonzalo Martínez-Cervantes

    Universidad de Alicante, Spain

  • Abraham Rueda Zoca

    Universidad de Granada, Spain

  • Pedro Tradacete

    Instituto de Ciencias Matemáticas (ICMAT), Madrid, Spain
Infinite dimensional spaces in the set of strongly norm-attaining Lipschitz maps cover
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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