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

Abstract

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 $M_{\star }$.

10 pages, Final version, to appear in BLMS

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