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12. Convexity of a specific class of trace functions


    1. Add remark

      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 $B$).
        1. Remark. This is related to the data processing inequality.

              Cite this as: AimPL: Noncommutative inequalities, available at http://aimpl.org/noncommineqV.