Another Simple Proof of a Theorem of Chandler Davis

Details Another Simple Proof of a Theorem of Chandler Davis Another Simple Proof of a Theorem of Chandler Davis

2002-08-28

arxiv.org/abs/math/0208223v3

Mathematics

Functional Analysis

3 pages

Scientific paper

In 1957, Chandler Davis proved that unitarily invariant convex functions on
the space of hermitian matrices are precisely those which are convex and
symmetrically invariant on the set of diagonal matrices. We give a simple
perturbation theoretic proof of this result. (Davis' argument was also very
short, though based on completely different ideas).

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