Zeitschrift für Analysis und ihre Anwendungen 22 (2003), No. 2, 299--314
Copyright Heldermann Verlag 2003
Operator-Theoretic Positivstellensätze
C.-G. Ambrozie
Institute of Mathematics, Romanian Academy, 70700 Bucharest, Romania
F.-H. Vasilescu
UFR de Mathématique, Université de Lille I, 59655 Villeneuve d'Ascq, France
We study the structure of positive polynomials with coefficients in an operator algebra as a non-commutative infinite-dimensional analogue of Hilbert's 17-th problem.
Keywords: Operator positivity, polynomials, semialgebraic sets.
MSC: 47A56; 47A13, 14P10
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