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Lip-density and algebras of Lipschitz functions on metric spaces.

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Garrido, M. Isabel and Jaramillo Aguado, Jesús Ángel and Rangel, Yenny C. (2010) Lip-density and algebras of Lipschitz functions on metric spaces. Extracta Mathematicae, 25 (3). pp. 249-261. ISSN 0213-8743

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Official URL: http://www.eweb.unex.es/eweb/extracta/Vol-25-3/25B3Jaramillo.pdf


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Abstract

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


Item Type:Article
Additional Information:

Proceedings of the Seventh Italian-Spanish Conference of General Topology and its Applications, Badajoz (Spain), September 7-10, 2010.

Uncontrolled Keywords:Algebras of Lipschitz functions, approximation, Finsler manifolds.
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
Sciences > Mathematics > Topology
ID Code:21358
Deposited On:13 May 2013 12:42
Last Modified:12 Dec 2018 15:13

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