Differential analysis of matrix convex functions II
Operator Algebras
2007-05-23 v1
Abstract
We continue the analysis in [3] of matrix convex functions of a fixed order defined in a real interval by differential methods as opposed to the characterization in terms of divided differences given by Kraus [5]. We amend and improve some points in the previously given presentation, and we give a number of simple but important consequences of matrix convexity of low orders.
Cite
@article{arxiv.math/0703271,
title = {Differential analysis of matrix convex functions II},
author = {Frank Hansen and Jun Tomiyama},
journal= {arXiv preprint arXiv:math/0703271},
year = {2007}
}