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The Dunford-Pettis property for Lipschitz-free spaces over $\mathbb{R}^n$

Mason, Fraser
arXiv (All) · Papers
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functional-analysis
We show that for every $n\in \mathbb{N}$, the Lipschitz-free space $\mathcal{F}(\mathbb{R}^n)$ has the Dunford-Pettis property. As a consequence, for every $n\in \mathbb{N}$ and every nonempty $M\subset \mathbb{R}^n$, the space $\mathcal{F}(M)$ has the Dunford-Pettis property. This implies that $\ma
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