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Listar por autor "Prochazka, Antonin"

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Listar por autor "Prochazka, Antonin"

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    Compact reduction in Lipschitz-free spaces 
    Aliaga, Ramón J.; Nous, Camille; Petitjean, Colin; Prochazka, Antonin (Institute of Mathematics, Polish Academy of Sciences, 2021)
    [EN] We prove a general principle satisfied by weakly precompact sets of Lip-schitz-free spaces. By this principle, certain infinite-dimensional phenomena in Lipschitzfree spaces over general metric spaces may be reduced ...
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    Embeddings of Lipschitz-free spaces into l(1) 
    Aliaga, Ramón J.; Petitjean, Colin; Prochazka, Antonin (Elsevier, 2021-03-15)
    [EN] We show that, for a separable and complete metric space $M$, the Lipschitz-free space $\mathcal{F}(M)$ embeds linearly and almost-isometrically into $\ell_1$ if and only if $M$ is a subset of an $\mathbb{R}$-tree with ...