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arxiv: math/0411591 · v2 · submitted 2004-11-26 · 🧮 math.OA · math.FA

Characterizations of noncommutative H^infty

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keywords algebrasinftynoncommutativearvesoncharacterizationscharacterizingcircleclassical
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We transfer a large part of the circle of theorems characterizing the generalization of classical $H^\infty$ known as `weak* Dirichlet algebras', to Arveson's noncommutative setting of subalgebras of finite von Neumann algebras.

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