Geodesic
A theorem on isotropic spaces
Studia Mathematica, Tome 133 (1999) no. 3, pp. 257-260

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let X be a normed space and $G_F(X)$ the group of all linear surjective isometries of X that are finite-dimensional perturbations of the identity. We prove that if $G_F(X)$ acts transitively on the unit sphere then X must be an inner product space.
DOI : 10.4064/sm-133-3-257-260

Félix Cabello Sánchez 1

1 
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Félix Cabello Sánchez. A theorem on isotropic spaces. Studia Mathematica, Tome 133 (1999) no. 3, pp. 257-260. doi: 10.4064/sm-133-3-257-260

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