The unit ball of the predual of 𝐻^{∞}(𝔹_{𝕕}) has no extreme points

Clouâtre, Raphaël; Davidson, Kenneth

doi:10.1090/proc/12964

The unit ball of the predual of $H^\infty (\mathbb {B}_d)$ has no extreme points
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by Raphaël Clouâtre and Kenneth R. Davidson PDF

Proc. Amer. Math. Soc. 144 (2016), 1575-1580 Request permission

Abstract:

We identify the exposed points of the unit ball of the dual space of the ball algebra. As a corollary, we show that the predual of $H^\infty (\mathbb {B}_d)$ has no extreme points in its unit ball.

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