A Representation of G-invariant norms for Eaton Triple
Journal of convex analysis, Tome 18 (2011) no. 1, pp. 59-65
Cet article a éte moissonné depuis 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
Mots-clés : Eaton triple, G-invariant norms, symmetric gauge functions, Ky Fan norms, finite reflection groups
@article{JCA_2011_18_1_JCA_2011_18_1_a2,
author = {P. Niemiec and T.-Y. Tam},
title = {A {Representation} of {G-invariant} norms for {Eaton} {Triple}},
journal = {Journal of convex analysis},
pages = {59--65},
year = {2011},
volume = {18},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JCA_2011_18_1_JCA_2011_18_1_a2/}
}
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/