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A polynomial $f$ in non-commuting variables is trace-positive if the trace of $f(\underline{A})$ is positive for all tuples $\underline{A}$ of symmetric matrice
Moments, Positive Polynomials and Their Applications
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1. The generalized moment problem. 1.1. Formulations. 1.2. Duality theory. 1.3. Computational complexity. 1.4. Summary. 1.5. Exercises. 1.6. Notes and sources -
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The study of positive polynomials brings together algebra, geometry and analysis. The subject is of fundamental importance in real algebraic geometry when study
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The (multivariate) truncated moment problem is an important question in analysis with applications to mathematical physics, probability theory, etc. In the 1990
Positive Polynomials, Sums of Squares and the Moment Problem
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