On peak phenomena for non-commutative H∞

Abstract

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∞-algebra H∞(M,τ) 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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