The uniform structure of Banach spaces

DOI10.1007/s00208-011-0743-3zbMath1268.46018OpenAlexW2124057264MaRDI QIDQ695277

Nigel J. Kalton

Publication date: 20 December 2012

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-011-0743-3

zbMATH Keywords

Banach spaceapproximation propertynonlinear Banach space theoryuniform homeomorphismcoarse homeomorphismLipschitz retractuniformly continuous section

Mathematics Subject Classification ID

Nonlinear classification of Banach spaces; nonlinear quotients (46B80)

Related Items (29)

Schauder bases in Lipschitz free spaces over nets in Banach spaces ⋮ Approximation properties in terms of Lipschitz maps ⋮ On the geometry of the countably branching diamond graphs ⋮ Obituary: Nigel John Kalton, 1946-2010 ⋮ 𝐾(ℓ_{𝑝},ℓ_{𝑞}) is a Lipschitz retract of 𝐵(ℓ_{𝑝},ℓ_{𝑞}) ⋮ Nonlinear equivalence of Banach spaces based on Birkhoff-James orthogonality. II ⋮ On Kalton’s interlaced graphs and nonlinear embeddings into dual Banach spaces ⋮ Geometries of topological groups ⋮ Optimal extensions of Lipschitz maps on metric spaces of measurable functions ⋮ Schauder bases in Lipschitz free spaces over nets of \(\mathcal{L}_\infty\)-spaces ⋮ Lipschitz-free spaces and approximating sequences of projections ⋮ On weaker notions of nonlinear embeddings between Banach spaces ⋮ Lipschitz approximable Banach spaces ⋮ The non-linear geometry of Banach spaces after Nigel Kalton ⋮ EQUIVARIANT GEOMETRY OF BANACH SPACES AND TOPOLOGICAL GROUPS ⋮ Spectral calculus and Lipschitz extension for barycentric metric spaces ⋮ Impossibility of almost extension ⋮ Free Banach spaces and the approximation properties ⋮ Coarse and uniform embeddings ⋮ Nonlinear spectral calculus and super-expanders ⋮ Uniform nonextendability from nets ⋮ On absolute uniform retracts, uniform approximation property and super weakly compact sets of Banach spaces ⋮ Book Review: Metric embeddings: bilipschitz and coarse embedddings into Banach spaces ⋮ An Ando–Choi–Effros lifting theorem respecting subspaces ⋮ Constructing a Lipschitz retraction from ℬ(ℋ) onto 𝒦(ℋ) ⋮ Coarse embeddings into superstable spaces ⋮ Compact retractions and Schauder decompositions in Banach spaces ⋮ Asymptotic smoothness in Banach spaces, three-space properties and applications ⋮ On Lipschitz extension from finite subsets

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