Sums of squares on real algebraic surfaces

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Representations of Non-Negative Polynomials, Degree Bounds and Applications to Optimization (2009, result): “Applications of this result are given in [17] [ 19 ] [20].”
About the Connes Embedding Conjecture---Algebraic approaches--- (2012, background): “j] m i,j=1 ∈ Mm(Mn( k )) is positive, can one ﬁnd a Toeplitz matrix Am= A∗ −m∈ Mn( ) so that [Ai−j] m+1 i,j=1 ∈ Mm+1(Mn( k )) is still positive? We note that nonetheless [Z2] + is archimedean closed ([Sd]). 20 NARUTAKAOZAWA 15. Kirchberg’s Conjecture. In his seminal paper [Ki1], Kirchberg has shown ”