Differential analysis of matrix convex functions II

Details Differential analysis of matrix convex functions II Differential analysis of matrix convex functions II

2007-03-09

arxiv.org/abs/math/0703271v1

Mathematics

Operator Algebras

Scientific paper

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.

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