Lip-density and algebras of Lipschitz functions on metric spaces

  1. Garrido Carballo, María Isabel
  2. Jaramillo Aguado, Jesús Angel
  3. Rangel, Yenny C.
Revista:
Extracta mathematicae

ISSN: 0213-8743

Any de publicació: 2010

Títol de l'exemplar: Proceedings of the Seventh Italian-Spanish Conference of General Topology and its Applications, Badajoz (Spain), September 7-10, 2010

Volum: 25

Número: 3

Pàgines: 249-261

Tipus: Article

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Resum

Our aim in this note is to give an extension of the classical Myers-Nakai theorem in the context of Finsler manifolds. To achieve this, we provide a general result in this line for subalgebras of bounded Lipschitz functions on length metric spaces. We also establish some connection with the uniform approximation of bounded Lipschitz functions by functions in the subalgebra, keeping control on the Lipschitz constants.

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