Asymptotic properties of Banach spaces and coarse quotient maps

DOI10.1090/proc/14097zbMath1405.46019arXiv1705.10207OpenAlexW2963016976MaRDI QIDQ4683518

Sheng Zhang

Publication date: 21 September 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.10207

zbMATH Keywords

asymptotic uniform smoothnesscoarse quotient mapsRolewicz's property (\(\beta\)]

Mathematics Subject Classification ID

Nonlinear classification of Banach spaces; nonlinear quotients (46B80) Asymptotic theory of Banach spaces (46B06)

Related Items (3)

A submetric characterization of Rolewicz’s property $(\beta )$ ⋮ Coarse quotients of metric spaces and embeddings of uniform Roe algebras ⋮ Constructing a Lipschitz retraction from ℬ(ℋ) onto 𝒦(ℋ)

Cites Work

• Coarse quotient mappings between metric spaces
• Equivalent norms with the property \((\beta)\) of Rolewicz
• \(k\)-\(\beta\) and \(k\)-nearly uniformly convex Banach spaces
• Property \((\beta)\) and uniform quotient maps
• Affine approximation of Lipschitz functions and nonlinear quotients
• The coarse Lipschitz geometry of \(\ell_p\oplus\ell_q\)
• Lenses and asymptotic midpoint uniform convexity
• The transfer of property $(\beta )$ of Rolewicz by a uniform quotient map
• Topics in Banach Space Theory
• (β)-distortion of some infinite graphs
• ALMOST FRÉCHET DIFFERENTIABILITY OF LIPSCHITZ MAPPINGS BETWEEN INFINITE-DIMENSIONAL BANACH SPACES
• Asymptotic geometry of Banach spaces and uniform quotient maps
• On ∆-uniform convexity and drop property
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