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arxiv: 1406.4975 · v1 · pith:6WKFJL35new · submitted 2014-06-19 · 🧮 math.AG · math.FA

Flat extensions in *-algebras

classification 🧮 math.AG math.FA
keywords algebrasflattheoremappliedcylinderenvelopingextensionextensions
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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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