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arXiv · 1312.2896

On the existence of 1-separated sequences on the unit ball of a finite dimensional Banach space

Eytyhios Glakousakis·Sophocles Mercourakis
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Abstract

Given a finite dimensional Banach space X with dimX = n and an Auerbach basis of X, it is proved that: there exists a set D of n + 1 linear combinations (with coordinates 0, -1, +1) of the members of the basis, so that each pair of different elements of D have distance greater than one.

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Eytyhios Glakousakis, Sophocles Mercourakis. 2014-09-30. On the existence of 1-separated sequences on the unit ball of a finite dimensional Banach space. https://arxiv.org/abs/1312.2896

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