Weak* continuous states on Banach algebras

Details Weak* continuous states on Banach algebras Weak* continuous states on Banach algebras

2008-08-14

arxiv.org/abs/0808.2037v1

Mathematics

Functional Analysis

5 pages

Scientific paper

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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