Geodesic
A note on the Banach-Mazur problem
Glasgow mathematical journal, Tome 44 (2002) no. 1, pp. 159-165

Voir la notice de l'article provenant de la source Cambridge University Press

We prove that if X is a real Banach space, with dim X\ge 3, which contains subspace of codimension 1 which is 1-complemented in X and whose group of isometries is almost transitive then X is isometric to a Hilbert space. This partially answers the Banach-Mazur rotation problem and generalizes some recent related results. 
Randrianantoanina, Beata. A note on the Banach-Mazur problem. Glasgow mathematical journal, Tome 44 (2002) no. 1, pp. 159-165. doi: 10.1017/S001708950201011X
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