Characterizations of noncommutative $H^\infty$

Details Characterizations of noncommutative $H^\infty$ Characterizations of noncommutative $H^\infty$

2004-11-26

arxiv.org/abs/math/0411591v2

Mathematics

Operator Algebras

18 pages: Minor technical improvements to Szego's theorem

Scientific paper

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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