12. Convexity of a specific class of trace functions
-
Problem 12.1.
[Anna Vershynina] Characterize the convexity of \mathrm{Tr}\left[(K^*A^{q/2}B^pA^{q/2}K)^s\right] (taken over all K and positive-definite A and B).-
Remark. This is related to the data processing inequality.
-
Cite this as: AimPL: Noncommutative inequalities, available at http://aimpl.org/noncommineqV.