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Polygonal equalities in Hilbert spaces

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 نشر من قبل Anthony Weston
 تاريخ النشر 2012
  مجال البحث
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 تأليف Anthony Weston




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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 Shkarins class M.

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