Unitary orbits of Hermitian operators with convex or concave functions

Details Unitary orbits of Hermitian operators with convex or concave functions Unitary orbits of Hermitian operators with convex or concave functions

2011-09-12

arxiv.org/abs/1109.2384v1

Mathematics

Functional Analysis

Scientific paper

This short but self-contained survey presents a number of elegant matrix/operator inequalities for general convex or concave functions, obtained with a unitary orbit technique. Jensen, sub or super-additivity type inequalities are considered. Some of them are substitutes to classical inequalities (Choi, Davis, Hansen-Pedersen) for operator convex or concave functions. Various trace, norm and determinantal inequalities are derived. Combined with an interesting decomposition for positive semi-definite matrices, several results for partitioned matrices are also obtained.

Affiliated with

Also associated with

No associations

Rating

Unitary orbits of Hermitian operators with convex or concave functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Unitary orbits of Hermitian operators with convex or concave functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Unitary orbits of Hermitian operators with convex or concave functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-59539