The unit ball of the predual of $H^\infty(\mathbb{B}_d)$ has no extreme points

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.

7 pages. Final version. To appear in Proceedings of the AMS