On peak phenomena for non-commutative $H^\infty$

Mathematics – Operator Algebras

Scientific paper

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final version (the presentation of some part is revised and one reference added)

Scientific paper

A non-commutative extension of Amar and Lederer's peak set result is given.
As its simple applications it is shown that any non-commutative
$H^\infty$-algebra $H^\infty(M,\tau)$ has unique predual,and moreover some
restriction in some of the results of Blecher and Labuschagne are removed,
making them hold in full generality.

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