Uniform homeomorphisms of unit spheres and property~H of Lebesgue-Bochner function spaces

DOI10.1007/s10114-016-6245-1zbMath1373.46014OpenAlexW2563707238MaRDI QIDQ2627881

Yun Bai Dong, Qing Jin Cheng

Publication date: 1 June 2017

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-016-6245-1

zbMATH Keywords

Banach spaceuniform homeomorphismLebesgue-Bochner function spaceproperty H

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Nonlinear classification of Banach spaces; nonlinear quotients (46B80) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)

Related Items (2)

On quantitative sphere equivalence and extrapolation phenomenon ⋮ On Banach spaces with Kasparov and Yu's property (H)

Cites Work

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• The Novikov conjecture and geometry of Banach spaces
• The coarse geometric Novikov conjecture and uniform convexity
• The distortion problem
• Uniform embeddability and exactness of free products.
• Banach spaces determined by their uniform structures
• Examples of uniformly homeomorphic Banach spaces
• The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
• The coarse Novikov conjecture and Banach spaces with property (H)
• On Banach spaces with Kasparov and Yu's property (H)
• Sphere equivalence, Property H, and Banach expanders
• Strict Convexity and Smoothness of Normed Spaces
• Rotundity in Lebesgue-Bochner Function Spaces

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