Strongly norm-attaining Lipschitz maps

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

Universitat de defensa: Universidad de Granada

Fecha de defensa: 18 de de març de 2021

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

Tipus: Tesi

Teseo: 649135 DIALNET lock_openDIGIBUG editor

Resum

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