Maurey's factorization theory for operator spaces

TL;DR

This paper extends Maurey's factorization theorem to operator spaces, introducing an embedding result that benefits the study of noncommutative Lp spaces and operator space theory.

Contribution

It presents an operator space version of Maurey's factorization theorem along with a novel embedding result, advancing the understanding of noncommutative functional analysis.

Findings

Operator space version of Maurey's factorization theorem established

New embedding result of independent interest introduced

Applications demonstrated for noncommutative Lp spaces

Abstract

We provide an operator space version of Maurey's factorization theorem. The main tool is an embedding result of independent interest. Applications for operator spaces and noncommutative Lp spaces are included.