This is an announcement for the paper "The unit ball of the predual of $H^\infty(\mathbb{B}_d)$ has no extreme points" by Raphael Clouatre and Kenneth R. Davidson.

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.

Archive classification: math.FA

Remarks: 6 pages

Submitted from: ottokar_1er@hotmail.com

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1504.01016

or

http://arXiv.org/abs/1504.01016