Strongly norm-attaining Lipschitz maps

  1. Chiclana Vega, Rafael
Dirigida por:
  1. Miguel Martín Suárez Director

Universidad de defensa: Universidad de Granada

Fecha de defensa: 18 de marzo de 2021

Tribunal:
  1. Gilles Godefroy Presidente/a
  2. Ginés López Pérez Secretario
  3. Rafael Payá Albert Vocal
  4. Gilles Lancien Vocal
  5. Eva Pernecká Vocal
Departamento:
  1. ANÁLISIS MATEMÁTICO

Tipo: Tesis

Teseo: 649135 DIALNET lock_openDIGIBUG editor

Resumen

We study the possibility of approximating every Lipschitz map by Lipschitz maps which attain their Lipschitz constant. That is, we study the denseness of the set LipSNA(M, Y) of strongly norm-attaining Lipschitz maps in the space Lip0(M; Y ) of all Lipschitz maps from a (complete pointed) metric space M to a Banach space Y . A Lipschitz map f : M → Y is said to strongly attain its (Lipschitz) norm if there are distinct points p, q ∈ M