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arXiv · 1406.7868

The approximation property for spaces of Lipschitz functions

Antonio Jiménez Vargas
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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 $ε$-product and the linearization of Lipschitz mappings.

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Antonio Jiménez Vargas. 2014-11-29. The approximation property for spaces of Lipschitz functions. https://arxiv.org/abs/1406.7868

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