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- W4300187784 abstract "We give several structural results concerning the Lipschitz-free spaces $mathcal F(M)$, where $M$ is a metric space. We show that $mathcal F(M)$ contains a complemented copy of $ell_1(Gamma)$, where $Gamma=text{dens}(M)$. If $mathcal N$ is the net in a finite dimensional Banach space $X$, we show that $mathcal F(mathcal N)$ is isomorphic to its square. If $X$ contains a complemented copy of $ell_p, c_0$ then $mathcal F(mathcal N)$ is isomorphic to its $ell_1$-sum. Finally, we prove that for all $Xcong C(K)$ spaces $mathcal F(mathcal N)$ are mutually isomorphic spaces with a Schauder basis." @default.
- W4300187784 created "2022-10-03" @default.
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- W4300187784 date "2016-06-13" @default.
- W4300187784 modified "2023-09-27" @default.
- W4300187784 title "Some remarks on the structure of Lipschitz-free spaces" @default.
- W4300187784 doi "https://doi.org/10.48550/arxiv.1606.03926" @default.
- W4300187784 hasPublicationYear "2016" @default.
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