On the structure of Lipschitz-free spaces
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Publication:2814404
DOI10.1090/proc/13019zbMath1353.46004arXiv1505.07209OpenAlexW3105700404MaRDI QIDQ2814404
Michal Doucha, Marek Cúth, Przemysław Wojtaszczyk
Publication date: 22 June 2016
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.07209
Metric spaces, metrizability (54E35) Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03)
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Cites Work
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- Lipschitz-free spaces over ultrametric spaces
- Approximation properties and Schauder decompositions in Lipschitz-free spaces
- Properties of the Holmes space
- Every separable metric space is Lipschitz equivalent to a subset of \(C_0\)
- Sobolev imbedding operators and the nonisomorphism of certain Banach spaces
- Interpolation and extrapolation of smooth functions by linear operators
- Remarks on Gurarii spaces
- Tree metrics and their Lipschitz-free spaces
- On bases and unconditional convergence of series in Banach spaces
- The Lipschitz free Banach spaces of $C(K)$-spaces
- Planar Earthmover Is Not in $L_1$
- The Dunford-Pettis property for the ball-algebras, the polydisc-algebras and the Sobolev spaces
- A simple proof of the Rademacher theorem
- Lipschitz-free Banach spaces
- Products of Lipschitz-free spaces and applications
- Free spaces over countable compact metric spaces
- Smooth analysis in Banach spaces
- Absolutely summing operators in $ℒ_{p}$-spaces and their applications