Garrido, M. IsabelJaramillo Aguado, Jesús ÁngelRangel, Yenny C.2023-06-202023-06-2020100213-8743https://hdl.handle.net/20.500.14352/43816Proceedings of the Seventh Italian-Spanish Conference of General Topology and its Applications, Badajoz (Spain), September 7-10, 2010.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 constantsengjournal articlehttp://www.eweb.unex.es/eweb/extracta/Vol-25-3/25B3Jaramillo.pdfhttp://www.eweb.unex.es/eweb/open access517.98515.124Algebras of Lipschitz functionsapproximationFinsler manifolds.Análisis funcional y teoría de operadoresTopología1210 Topología