A remark on the reproducing kernel thesis for Hankel operators

TL;DR

This paper provides a straightforward proof of the reproducing kernel thesis for Hankel operators, clarifying a key theoretical aspect of operator theory.

Contribution

It offers a simplified proof of the reproducing kernel thesis specifically for Hankel operators, enhancing understanding of their properties.

Findings

Simplified proof of the reproducing kernel thesis

Clarification of Hankel operators' theoretical framework

Potential implications for operator theory

Abstract

We give a simple proof of the so called reproducing kernel thesis for Hankel operators