English

Extreme and Exposed Points Arising from Rational Kernels

Complex Variables 2020-02-06 v1 Functional Analysis

Abstract

Let β1,...,βn\beta_1,...,\beta_n be distinct points in the open unit disc in the complex plane, none of which is the origin, and let H1H^1 be the Hardy space. Define a closed convex set in Cn\mathbb{C}^{n} by Λ={(f(β1),...,f(βn)):fH1,f11}\Lambda = \{ (f(\beta_1),...,f(\beta_n)): f \in H^1, ||f||_1 \le 1 \}. We characterize the extreme and exposed points of Λ\Lambda

Keywords

Cite

@article{arxiv.2002.01758,
  title  = {Extreme and Exposed Points Arising from Rational Kernels},
  author = {Stephen D. Fisher},
  journal= {arXiv preprint arXiv:2002.01758},
  year   = {2020}
}
R2 v1 2026-06-23T13:31:50.939Z