Lipschitz quotients from metric trees and from Banach spaces containing \(\ell _{1}\)

DOI10.1006/jfan.2002.3924zbMath1013.46012OpenAlexW2063696182MaRDI QIDQ1865305

David Preiss, Gideon Schechtman, Joram Lindenstrauss, William B. Johnson

Publication date: 26 March 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2002.3924

zbMATH Keywords

Lipschitz mapmetric treesuperreflexive spaceGateaux differentiabilty

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Nonseparable Banach spaces (46B26) Continuous and differentiable maps in nonlinear functional analysis (46T20)

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Weakly externally hyperconvex subsets and hyperconvex gluings, On some properties of hyperconvex spaces, Asymptotic geometry of Banach spaces and uniform quotient maps, A characterisation of octahedrality in Lipschitz-free spaces, On topological properties of metrics defined via generalized ``linking construction, Absolutely minimal Lipschitz extension of tree-valued mappings, Remarks on Lipschitz 𝑝-summing operators, Markov chains in smooth Banach spaces and Gromov-hyperbolic metric spaces, Lipschitz $p$-summing operators, A characterization of superreflexivity through embeddings of lamplighter groups

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