Section: New Results

Flat extensions in ∗-algebras

Participant : Bernard Mourrain.

The main result of the paper [9] 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.

This is a joint work with K. Schmüdgen.