Results 11 to 20 of about 36,851 (159)
Weakly almost square Lipschitz-free spaces
Journal of Mathematical Analysis and Applications, 2023 We construct a Lipschitz-free space that is locally almost square but not weakly almost square; this is the first example of such a Banach space. We also prove a result, which indicates that geodesic metric spaces are a potential metric characterization for weakly almost square Lipschitz-free spaces. Lastly, we prove that a Lipschitz-free space can not
Jaan Kristjan Kaasik, Triinu Veeorg
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Extremal Structure and Duality of Lipschitz Free Spaces [PDF]
Mediterranean Journal of Mathematics, 2018 28 ...
Luis García-Lirola +3 more
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On the structure of Lipschitz-free spaces [PDF]
Proceedings of the American Mathematical Society, 2016 In this note we study the structure of Lipschitz-free Banach spaces. We show that every Lipschitz-free Banach space over an infinite metric space contains a complemented copy of ℓ 1 \ell _1 . This result has many consequences for the structure of Lipschitz-free Banach spaces.
Cúth, Marek +2 more
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Tree metrics and their Lipschitz-free spaces [PDF]
Proceedings of the American Mathematical Society, 2010 We compute the Lipschitz-free spaces of subsets of the real line and characterize subsets of metric trees by the fact that their Lipschitz-free space is isometric to a subspace of L 1 L_1 .
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Solenoidal Lipschitz truncation for parabolic PDE's
Mathematical Models and Methods in Applied Sciences, 2013 We consider functions $u\in L^\infty(L^2)\cap L^p(W^{1,p})$ with ...
Breit, D., Diening, L., Schwarzacher, S.
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Lipschitz-free spaces and Schur properties
Journal of Mathematical Analysis and Applications, 2017 In this paper we study $\ell_1$-like properties for some Lipschitz-free spaces. The main result states that, under some natural conditions, the Lipschitz-free space over a proper metric space linearly embeds into an $\ell_1$-sum of finite dimensional subspaces of itself.
Colin Petitjean
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On Schauder bases in Lipschitz-free spaces
Journal of Mathematical Analysis and Applications, 2014 For a pointed metric space \(M\), consider the Banach space \(\mathrm{Lip}_0(M)\) of Lipschitz real-valued functions on \(M\) vanishing at \(0\), endowed with the norm defined by the Lipschitz constant. Its unit ball being compact for the pointwise convergence topology, this space is a dual space and a canonical predual of \(\mathrm{Lip}_0(M)\) is ...
Hájek, P. (Petr Pavel) +1 more
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Approximation properties in Lipschitz‐free spaces over groups [PDF]
Journal of the London Mathematical Society, 2022 With updated ...
Doucha, Michal +1 more
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Daugavet points and $\Delta $-points in Lipschitz-free spaces [PDF]
Studia Mathematica, 2022 Comment: 19 ...
Jung, Mingu, Rueda Zoca, Abraham
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On Lipschitz-free spaces over spheres of Banach spaces [PDF]
Journal of Mathematical Analysis and Applications, 2021 We prove that, for each Banach space $X$ which is isomorphic to its hyperplanes, the Lipschitz-free spaces over $X$ and over its sphere are isomorphic.
Leandro Candido, Pedro L. Kaufmann
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