Supports and extreme points in Lipschitz-free spaces

• Ramón J. Aliaga ^[1] ; Eva Pernecká ^[2]
  1. [1] Universidad Politécnica de Valencia

     Universidad Politécnica de Valencia

     Valencia, España

     
  2. [2] Czech Technical University in Prague

     Czech Technical University in Prague

     Chequia

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 36, Nº 7, 2020, págs. 2073-2089
• Idioma: inglés
• DOI: 10.4171/rmi/1191
• Enlaces
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• Resumen

  • For a complete metric space M, we prove that the finitely supported extreme points of the unit ball of the Lipschitz-free space FM are precisely the elementary molecules (δ(p)−δ(q))/d(p,q) defined by pairs of points p,q in M such that the triangle inequality d(p,q)