# 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} }

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

Duality, convexity and peak interpolation in the Drury-Arveson space

- Mathematics
- 2015

We consider the closed algebra $\mathcal{A}_d$ generated by the polynomial multipliers on the Drury-Arveson space. We identify $\mathcal{A}_d^*$ as a direct sum of the preduals of the full multiplier…

Non‐commutative peaking phenomena and a local version of the hyperrigidity conjecture

- Mathematics
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We investigate various notions of peaking behaviour for states on a $\mathrm{C}^*$-algebra, where the peaking occurs within an operator system. We pay particularly close attention to the existence of…

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