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- W2963029098 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 a 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 $f(mathcal N)$ is isomorphic to its$ell_1$-sum. Finally, we prove that for all $Xcong C(K)$ spaces, where $K$ is a metrizable compact, $f(mathcal N)$ are mutually isomorphic spaces with a Schauder basis." @default.
- W2963029098 created "2019-07-30" @default.
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- W2963029098 date "2017-04-01" @default.
- W2963029098 modified "2023-09-25" @default.
- W2963029098 title "Some remarks on the structure of Lipschitz-free spaces" @default.
- W2963029098 doi "https://doi.org/10.36045/bbms/1503453711" @default.
- W2963029098 hasPublicationYear "2017" @default.
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