RT Journal Article
T1 Characterizations of inner product spaces by means of norm one points
A1 Mendoza Casas, José
A1 Pakhrou, Tijani
AB 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.
PB Matematisk Institut, Universitetsparken NY Munkegade
SN 0025-5521
YR 2005
FD 2005
LK https://hdl.handle.net/20.500.14352/50161
UL https://hdl.handle.net/20.500.14352/50161
LA eng
NO D.G.I.C.Y.T.
DS Docta Complutense
RD 8 abr 2025