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arXiv · 2002.01758

Extreme and Exposed Points Arising from Rational Kernels

Stephen D. Fisher
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Abstract

Let $\beta_1,...,\beta_n$ be distinct points in the open unit disc in the complex plane, none of which is the origin, and let $H^1$ be the Hardy space. Define a closed convex set in $\mathbb{C}^{n}$ by $\Lambda = \{ (f(\beta_1),...,f(\beta_n)): f \in H^1, ||f||_1 \le 1 \}$. We characterize the extreme and exposed points of $\Lambda$

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Stephen D. Fisher. 2020-02-05. Extreme and Exposed Points Arising from Rational Kernels. https://arxiv.org/abs/2002.01758

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