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Browsing Waterloo Research by Subject "abelian operator"
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Abelian, amenable operator algebras are similar to C∗ -algebras
(Duke University Press, 2016-12)Suppose that H is a complex Hilbert space and that ℬ(H) denotes the bounded linear operators on H. We show that every abelian, amenable operator algebra is similar to a C∗-algebra. We do this by showing that if 𝒜⊆ℬ(H) is ...