The approximation property for spaces of Lipschitz functions

Antonio Jiménez Vargas

The approximation property for spaces of Lipschitz functions

Functional Analysis 2014-12-02 v2

Authors: Antonio Jiménez Vargas

Abstract

Let $\mathrm{Lip}_0(X)$ be the space of all Lipschitz scalar-valued functions on a pointed metric space $X$ . We characterize the approximation property for $\mathrm{Lip}_0(X)$ with the bounded weak* topology using as tools the tensor product, the $\epsilon$ -product and the linearization of Lipschitz mappings.

Keywords

lipschitz spaces approximation theory function approximation

Cite

@article{arxiv.1406.7868,
  title  = {The approximation property for spaces of Lipschitz functions},
  author = {Antonio Jiménez Vargas},
  journal= {arXiv preprint arXiv:1406.7868},
  year   = {2014}
}

Comments

Section 6 which appeared in the first version of this paper has been removed. The proof of Theorem 6.1 was not correct

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