Asymptotic structure and coarse Lipschitz geometry of Banach spaces

2016/04/30 by Bruno de Mendonça Braga, Bruno M. Braga · 1 citation
Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Advanced Operator Algebra Research #Banach manifold #Banach space #Convexity #Eberlein–Šmulian theorem #Functional analysis #Interpolation space #Lipschitz continuity #Lp space #Mathematical analysis #Mathematics #Pure mathematics #Smoothness #Uniformly convex space #math.FA

paper · pdf · doi:10.4064/sm8604-11-2016

published as Studia Mathematica 237 (2017), no. 1, 71-97

openalex publication_date 2017/01/01 · arxiv created 2017/02/15 · arxiv updated 2017/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the coarse Lipschitz geometry of Banach spaces with several asymptotic properties. Specifically, we look at asymptotic uniform smoothness and convexity, and several distinct Banach–Saks-like properties. We characterize the Banach spaces which are

Citations

• An arbitrarily distortable Banach space
• A Characterization of Banach Spaces Containing l 1
• Metric cotype

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