%0 Journal Article
%A Mendoza Casas, José
%A Pakhrou, Tijani
%T Characterizations of inner product spaces by means of norm one points
%D 2005
%@ 0025-5521
%U https://hdl.handle.net/20.500.14352/50161
%X Let X be a a real normed linear space of dimension at least three, with unit sphere S-X. In this paper we prove that X is an inner product space if and only if every three point subset of S-X has a Chebyshev center in its convex hull. We also give other characterizations expressed in terms of centers of three point subsets of S-X only. We use in these characterizations Chebyshev centers as well as Fermat centers and p-centers.
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