Application of Jacobi's representation theorem to locally multiplicatively convex topological \(\mathbb R\)-algebras

DOI10.1016/j.jfa.2013.09.001zbMath1315.46051arXiv1209.2966OpenAlexW1975151958MaRDI QIDQ2444427

Salma Kuhlmann, Murray A. Marshall, Mehdi Ghasemi

Publication date: 9 April 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.2966

zbMATH Keywords

positivityseminormslocally \(m\)-convex algebrasGelfand spectrum\(^*\)-seminormed algebrarepresentation of continuous linear functionalssums of \(2d\)-powers

Mathematics Subject Classification ID

General theory of topological algebras (46H05) General theory of topological algebras with involution (46K05)

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Cites Work

• SOS approximations of nonnegative polynomials via simple high degree perturbations
• Positive cones in enveloping algebras
• Positive definite functions on Abelian semigroups
• Closure of the cone of sums of \(2d\)-powers in commutative real topological algebras
• The moment problem for continuous positive semidefinite linear functionals
• Approximating Positive Polynomials Using Sums of Squares
• A representation theorem for certain partially ordered commutative rings
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