Flat extensions in ∗-algebras
Copyright policy )Flat extensions in ∗-algebras
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.
enveloping algebra, [MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG], Functional Analysis (math.FA), Mathematics - Functional Analysis, Mathematics - Algebraic Geometry, flat extension, hermitian linear form, FOS: Mathematics, GNS construction, truncated moment problem, ∗-algebras, Algebraic Geometry (math.AG)
enveloping algebra, [MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG], Functional Analysis (math.FA), Mathematics - Functional Analysis, Mathematics - Algebraic Geometry, flat extension, hermitian linear form, FOS: Mathematics, GNS construction, truncated moment problem, ∗-algebras, Algebraic Geometry (math.AG)
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