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arXiv · 0808.2037

Weak* continuous states on Banach algebras

Bojan Magajna
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Abstract

We prove that if a unital Banach algebra $A$ is the dual of a Banach space $\pd{A}$, then the set of weak* continuous states is weak* dense in the set of all states on $A$. Further, weak* continuous states linearly span $\pd{A}$.

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Bojan Magajna. 2008-08-14. Weak* continuous states on Banach algebras. https://arxiv.org/abs/0808.2037

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