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A Choquet theory of Lipschitz-free spaces

open access: yes
Let $(M,d)$ be a complete metric space and let $\mathcal{F}(M)$ denote the Lipschitz-free space over $M$. We develop a ``Choquet theory of Lipschitz-free spaces'' that draws from the classical Choquet theory and the De Leeuw representation of elements of $\mathcal{F}(M)$ (and its bidual) by positive Radon measures on $β\widetilde{M}$, where $\widetilde{
openaire   +2 more sources

Lipschitz-free spaces and Bossard's reduction argument

open access: yes
Motivated by recent work of E. Basset, G. Lancien and A. Procházka, we use the reduction argument of Bossard to prove two results: if a separable Banach space is isomorphically universal for the class of Lipschitz-free spaces over the countable complete discrete metric spaces then it is isomorphically universal for the class of separable Banach spaces,
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Graph-Theory Approach to Element Miscibility and Alloy Design. [PDF]

open access: yesAdv Sci (Weinh)
Martin A   +6 more
europepmc   +1 more source

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