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

  1. Gonzalo Martínez-Cervantes 2
  2. Abraham Rueda Zoca 3
  3. Pedro Tradacete 4
  4. Avilés López, Antonio 1
  1. 1 Universidad de Murcia, Spain
  2. 2 Universidad de Alicante, Spain
  3. 3 Universidad de Granada, Spain
  4. 4 Instituto de Ciencias Matemáticas (ICMAT), Madrid, Spain
Show affiliations +
Journal:
Revista matemática iberoamericana

ISSN: 0213-2230

Year of publication: 2024

Volume: 40

Issue: 1

Pages: 189-200

Type: Article

DOI: 10.4171/RMI/1425 DIALNET GOOGLE SCHOLAR lock_openOpen access editor

More publications in: Revista matemática iberoamericana

Sustainable development goals

Abstract

We prove that if M is an infinite complete metric space, then the set of strongly norm-attaining Lipschitz functions SNA.M / contains a linear subspace isomorphic to c0. This solves an open question posed by V. Kadets and Ó. Roldán.

Data source: Dialnet