ON THE EXISTENCE OF 1‐SEPARATED SEQUENCES ON THE UNIT BALL OF A FINITE‐DIMENSIONAL BANACH SPACE

DOI10.1112/S002557931400028XzbMath1347.46006arXiv1312.2896OpenAlexW2964327434MaRDI QIDQ3195357

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Publication date: 16 October 2015

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.2896

zbMATH Keywords

Auerbach basis1-separated sequences

Mathematics Subject Classification ID

Discrete geometry (52C99) Isometric theory of Banach spaces (46B04) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (4)

Antipodal sets in infinite dimensional Banach spaces ⋮ Separated sets and Auerbach systems in Banach spaces ⋮ Isometric embeddings of a class of separable metric spaces into Banach spaces ⋮ Uncountable sets of unit vectors that are separated by more than 1

Cites Work

• Concentration of the distance in finite dimensional normed spaces

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