Geodesic
A Representation of G-invariant norms for Eaton Triple
Journal of convex analysis, Tome 18 (2011) no. 1, pp. 59-65.

Voir la notice de l'article provenant de la source Heldermann Verlag

We obtain a representation of unitarily invariant norm in terms of Ky Fan norms [see R. Bhatia, Matrix Analysis, Springer, New York et al., 1997, p. 35]. Indeed we obtain a more general result in the context of Eaton triple with reduced triple. Examples are given.
Classification : 15A60, 65F35
Mots-clés : Eaton triple, G-invariant norms, symmetric gauge functions, Ky Fan norms, finite reflection groups 
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P. Niemiec; T.-Y. Tam. A Representation of G-invariant norms for Eaton Triple. Journal of convex analysis, Tome 18 (2011) no. 1, pp. 59-65. http://geodesic.mathdoc.fr/item/JCA_2011_18_1_JCA_2011_18_1_a2/