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Middle points and inner products |
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| Authors: | Benitez, Carlos Yanez, Diego |
| Affiliation: | Departamento de Matemáticas Universidad de Extremadura 06071 Badajoz Spain cabero{at}unex.es |
| Abstract: | Let X be a real normed space with unit sphere S. It is provedthat X is an inner product space if and only if there is a realnumber  , 0 < < 1, and  , such that every chord of S that supports S touches S at itsmiddle point. |
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