A non commutative sewing lemma

TL;DR

This paper introduces a non-commutative version of the sewing lemma, extending its applicability to non-commutative contexts and demonstrating relevant applications in the field.

Contribution

It provides the first non-commutative generalization of the sewing lemma, expanding its use in analysis and related areas.

Findings

Established a non-commutative sewing lemma

Demonstrated applications in non-commutative analysis

Extended the theoretical framework of the original lemma

Abstract

In a preceding paper [E.J.ofProb.34,860-892,(2006)], we proved a sewing lemma which was a key result for the study of Holder continuous functions. In this paper we give a non-commutative version of this lemma with some applications.