A theorem on isotropic spaces
Cabello Sánchez, Félix
Studia Mathematica, Tome 133 (1999), p. 257-260 / Harvested from The Polish Digital Mathematics Library
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Let X be a normed space and GF(X) the group of all linear surjective isometries of X that are finite-dimensional perturbations of the identity. We prove that if GF(X) acts transitively on the unit sphere then X must be an inner product space.

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:216617 
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     pages = {257-260},
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Cabello Sánchez, Félix. A theorem on isotropic spaces. Studia Mathematica, Tome 133 (1999) pp. 257-260. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv133i3p257bwm/

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