Geodesic
Upper bounds on certain functionals defined on groups of linear operators
The electronic journal of linear algebra, Tome 15 (2006), pp. 191-200.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The problem of estimating certain functionals defined on a group of linear operators generating a group induced cone (GIC) ordering is studied. A result of Berman and Plemmons [Math. Inequal. Appl., $2(1)$:149-152, 1998] is extended from the sum function to Schur-convex functions. It is shown that the problem has a closed connection with both Schur type inequality and weak group majorization. Some applications are given for matrices.
Classification : 06F20, 39B62, 15A48, 15A18
Keywords: group majorization, GIC ordering, normal decomposition system, cone preordering, Schur type inequality, Schur-convex function, eigenvalues, singular values 
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     title = {Upper bounds on certain functionals defined on groups of linear operators},
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Niezgoda, Marek. Upper bounds on certain functionals defined on groups of linear operators. The electronic journal of linear algebra, Tome 15 (2006), pp. 191-200. http://geodesic.mathdoc.fr/item/ELA_2006__15__a14/