A lower bound for the equilateral number of normed spaces
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Publication:5429433
DOI10.1090/S0002-9939-07-08916-2zbMath1142.46006arXivmath/0603614OpenAlexW2008758255MaRDI QIDQ5429433
Rafael Villa, Konrad J. Swanepoel
Publication date: 30 November 2007
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0603614
Geometry and structure of normed linear spaces (46B20) Isometric theory of Banach spaces (46B04) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)
Related Items (11)
EQUILATERAL SETS IN UNIFORMLY SMOOTH BANACH SPACES ⋮ Equilateral Dimension of Certain Classes of Normed Spaces ⋮ Maximal equilateral sets ⋮ On large equilateral point-sets in normed spaces ⋮ Unnamed Item ⋮ Geometry where direction matters -- or does it? ⋮ Isometric embeddings of a class of separable metric spaces into Banach spaces ⋮ Equilateral sets in Banach spaces of the form $C(K)$ ⋮ Antipodal Hadwiger numbers of finite-dimensional Banach spaces ⋮ Equilateral sets in infinite dimensional Banach spaces ⋮ Large equilateral sets in subspaces of \(\ell_\infty^n\) of small codimension
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- A problem of Kusner on equilateral sets
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- Equilateral sets in \(l_p^n\)
- On equilateral simplices in normed spaces
- On a conjecture of H. Hadwiger
- Research Problems in Discrete Geometry
- Equilateral Sets in Minkowski Spaces
- Simplexes with prescribed edge lengths in Minkowski and Banach spaces
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