Characterizations of noncommutative $H^{\infty }$

Abstract

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

References in corpus (1)

• On the maximality of subdiagonal algebras