JournalszaaVol. 22 , No. 2DOI 10.4171/zaa/1147

Operator-Theoretic Positivstellensätze

  • C.-G. Ambrozie

    Romanian Academy, Bucharest, Romania
  • F.-H. Vasilescu

    Université Lille I, Villeneuve D'ascq, France
Operator-Theoretic Positivstellensätze cover

Abstract

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.