Flat extensions in ∗-algebras

Mourrain, Bernard; Schmüdgen, Konrad

doi:10.1090/proc/13158

Flat extensions in $\ast$-algebras
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by Bernard Mourrain and Konrad Schmüdgen PDF

Proc. Amer. Math. Soc. 144 (2016), 4873-4885

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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