Mendoza Casas, JoséPakhrou, Tijani2023-06-202023-06-2020050025-5521https://hdl.handle.net/20.500.14352/50161Let 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.engjournal articlehttp://www.mscand.dk/article.php?id=2869http://www.mscand.dk/restricted access517.98Chebyshev centerscharacterizations of inner product spacesAnálisis funcional y teoría de operadores