On the predual of non-commutative $H^\infty$

Details On the predual of non-commutative $H^\infty$ On the predual of non-commutative $H^\infty$

2010-02-19

arxiv.org/abs/1002.3672v3

Mathematics

Operator Algebras

10 pages, Final version, to appear in BLMS

Scientific paper

The unique predual $M_\star/A_\perp$ of a non-commutative $H^\infty$-algebra
$A = H^\infty(M,\tau)$ is investigated. In particular, we will prove the
liftability property of weakly relatively compact subsets in $M_\star/A_\perp$
to $M_\star$.

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