EQUILATERAL SETS IN UNIFORMLY SMOOTH BANACH SPACES

DOI10.1112/S0025579313000260zbMath1310.46017arXiv1305.6750MaRDI QIDQ3191164

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Publication date: 24 September 2014

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.6750

zbMATH Keywords

uniformly smooth Banach spaceuniform smoothnessequilateral set

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isometric theory of Banach spaces (46B04)

Related Items (8)

Shells, sequences and intersections ⋮ Large Banach spaces with no infinite equilateral sets ⋮ Equilateral and separated sets in some Hilbert generated Banach spaces ⋮ BANACH SPACES IN WHICH LARGE SUBSETS OF SPHERES CONCENTRATE ⋮ Unnamed Item ⋮ Equilateral sets in Banach spaces of the form $C(K)$ ⋮ Uncountable sets of unit vectors that are separated by more than 1 ⋮ A note on symmetric separation in Banach spaces

Cites Work

• Equilateral sets in \(l_p^n\)
• \(L_ p\)-regularity of the Cauchy problem and the geometry of Banach spaces
• Equilateral Sets in $${\mathcal{l}}_{p}^{d}$$
• Equilateral sets in infinite dimensional Banach spaces
• A lower bound for the equilateral number of normed spaces

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