Noncommutative inequalities

Sections

1. 1. Positive elements that aren’t sums of squares in group algebra delete
2. 2. Pure trace polynomials as sums of squares of rationals delete
3. 3. Degree bounds for NSS/PSS delete
4. 4. Algebraic Circuits and rational identitiy testing delete
5. 5. Matrix convexity of trace positivity set of a polynomial delete
6. 6. Hyperbolic eigenvalues in Gaussian random direction delete
7. 7. Noncommutative hypoerbolic polynomials delete
8. 8. Quantum games and sums of squares delete
9. 9. Algebra of 2XOR game delete
10. 10. Testing membership in a subalgebra of the free algebra delete
11. 11. Finding rational simple eigenvalues of a noncommutative rational delete
12. 12. Convexity of a specific class of trace functions delete
13. 13. Rational Free Bertini delete

1. Bibliography