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arXiv · 1209.3454

Polygonal equalities in Hilbert spaces

Anthony Weston
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Abstract

This work has been expanded and fully incorporated into arXiv:1203.5837. Cases of equality in the classical 2-negative type inequalities for Hilbert spaces are characterized in terms of balanced signed simplices. It follows that a metric subspace of a Hilbert space H has strict 2-negative type if and only if it is affinely independent (when H is considered as a real vector space). This allows a complete description of Shkarin's class M.

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Anthony Weston. 2012-09-16. Polygonal equalities in Hilbert spaces. https://arxiv.org/abs/1209.3454

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