Flat extensions in ∗-algebras

Bernard Mourrain 1 Konrad Schmüdgen 2
1 AROMATH - AlgebRe, geOmetrie, Modelisation et AlgoriTHmes
CRISAM - Inria Sophia Antipolis - Méditerranée , National and Kapodistrian University of Athens
Abstract : The main result of the paper is a flat extension theorem for positive linear functionals on ∗-algebras. The theorem is applied to truncated moment problems on cylinder sets, on matrices of polynomials and on enveloping algebras of Lie algebras.
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Bernard Mourrain, Konrad Schmüdgen. Flat extensions in ∗-algebras. Proceedings of the American Mathematical Society, American Mathematical Society, 2016, 144 (11), pp.4873-4885. ⟨10.1090/proc/13158⟩. ⟨hal-01009909⟩

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