Lip-density and algebras of Lipschitz functions on metric spaces
- Garrido Carballo, María Isabel
- Jaramillo Aguado, Jesús Angel
- Rangel, Yenny C.
ISSN: 0213-8743
Datum der Publikation: 2010
Titel der Ausgabe: Proceedings of the Seventh Italian-Spanish Conference of General Topology and its Applications, Badajoz (Spain), September 7-10, 2010
Ausgabe: 25
Nummer: 3
Seiten: 249-261
Art: Artikel
Andere Publikationen in: Extracta mathematicae
Zusammenfassung
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.