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

@article{Clouatre2015TheUB,
title={The unit ball of the predual of \$H^\infty(\mathbb\{B\}\_d)\$ has no extreme points},
author={Raphael Clouatre and Kenneth R. Davidson},
journal={arXiv: Functional Analysis},
year={2015}
}
• Published 4 April 2015
• Mathematics
• arXiv: Functional Analysis
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.
2 Citations
Non‐commutative peaking phenomena and a local version of the hyperrigidity conjecture
We investigate various notions of peaking behaviour for states on a C∗ ‐algebra, where the peaking occurs within an operator system. We pay particularly close attention to the existence of sequences

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