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

Kenneth R. Davidson; Rapha\"el Clou\^atre

arxiv: 1504.01016 · v2 · pith:NXLH5A6Lnew · submitted 2015-04-04 · 🧮 math.FA · math.CV

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

Rapha\"el Clou\^atre , Kenneth R. Davidson This is my paper

classification 🧮 math.FA math.CV

keywords ballpointsunitextremeinftymathbbpredualalgebra

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

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