Schur-Ostrowski type theorems revisited. (English) Zbl 1220.15019
Author’s abstract: We extend Schur-Ostrowski theorem on Schur-convex functions from majorized vectors to separable ones. For this, we introduce a generalized Schur-Ostrowski’s condition. We apply the obtained result for cone orderings and group-induced cone orderings. Finally, we give some interpretations for absolutely weak majorization and for group majorization on the space of complex matrices.
Reviewer: Grozio Stanilov (Sofia)
MSC:
| 15B48 | Positive matrices and their generalizations; cones of matrices |
Keywords:
majorization; weak majorization; Schur-convex function; Schur-Ostrowski’s condition; group majorization; G-increasing function; separable vector; convex cone; dual cone; cone preordering; group-induced cone ordering; singular values; space of complex matricesReferences:
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