Characterizations of noncommutative $H^\infty$

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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.
18 pages: Minor technical improvements to Szego's theorem

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Operator Algebras, Functional Analysis

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http://salesiana.dossiersoluciones.com/handle/123456789/73384

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411591
 http://arxiv.org/abs/math/0411591

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arXiv