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5. Matrix convexity of trace positivity set of a polynomial


    1. Add remark

      Problem 5.1.

      [Eric Evert] Characterize the restrictions on a noncommutative polynomial $p$ such that $\mathcal{C}$ is matrix convex, where $\mathcal{C}$ is the set of all matrix tuples $X$ such that $\mathrm{tr}(p(X))\geq 0$.

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