Asymptotic geometry of Banach spaces and uniform quotient maps

DOI10.1090/S0002-9939-2014-12001-6zbMath1308.46031arXiv1209.0501MaRDI QIDQ3189579

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Publication date: 12 September 2014

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

Full work available at URL: https://arxiv.org/abs/1209.0501

zbMATH Keywords

Banach spaceasymptotic uniform smoothnessproperty (\(\beta\))asymptotic uniform convexityuniform quotient mapsproperty (\(M\))

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Nonlinear classification of Banach spaces; nonlinear quotients (46B80) Asymptotic theory of Banach spaces (46B06)

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Investigation of some fixed point theorems in hyperbolic spaces for a three step iteration process ⋮ Metric Characterizations of Some Classes of Banach Spaces ⋮ Umbel convexity and the geometry of trees ⋮ Coarse quotient mappings between metric spaces ⋮ Equivalent norms with the property \((\beta)\) of Rolewicz ⋮ Asymptotic properties of Banach spaces and coarse quotient maps ⋮ The transfer of property $(\beta )$ of Rolewicz by a uniform quotient map ⋮ (β)-distortion of some infinite graphs ⋮ Constructing a Lipschitz retraction from ℬ(ℋ) onto 𝒦(ℋ)

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