English

A Simple Proof of Nehari's Theorem Based on Duality

Functional Analysis 2025-07-02 v1 Systems and Control Systems and Control

Abstract

In this technical note we provide a simple proof of Nehari's theorem on the optimal approximation by HH_\infty functions, based on convex duality.

Cite

@article{arxiv.2507.00624,
  title  = {A Simple Proof of Nehari's Theorem Based on Duality},
  author = {Cristian R. Rojas},
  journal= {arXiv preprint arXiv:2507.00624},
  year   = {2025}
}

Comments

11 pages

R2 v1 2026-07-01T03:41:20.861Z