On the Cotlar-Stein lemma

TL;DR

This paper provides a new direct proof of the Cotlar-Stein lemma that avoids the traditional power trick method.

Contribution

It introduces a novel proof technique for the Cotlar-Stein lemma, simplifying the existing proof approach.

Findings

Provides a direct proof of the Cotlar-Stein lemma

Eliminates reliance on the power trick in the proof

Simplifies understanding of the lemma's proof

Abstract

We give a direct proof of the Cotlar-Stein lemma, which does not rely on the power trick.