Application of Jacobi's Representation Theorem to locally multiplicatively convex topological real Algebras

Mehdi Ghasemi, Salma Kuhlmann, Murray Marshall

Let $A$ be a commutative unital $\mathbb{R}$-algebra and let $\rho$ be a seminorm on $A$ which satisfies $\rho (ab)\le \rho (a)\rho (b)$. We apply T. Jacobi's representation theorem to determine…