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arXiv:0808.2037 [math.FA]AbstractReferencesReviewsResources

Weak* continuous states on Banach algebras

Bojan Magajna

Published 2008-08-14Version 1

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 $\pd{A}$.

Comments: 5 pages
Categories: math.FA
Subjects: 46H05, 46B10, 47B44
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