Some properties of Lipschitz strongly p-summing operators

TL;DR

This paper explores the duality and properties of Lipschitz strongly p-summing operators, extending classical results and providing a new factorization theorem for Lipschitz (p,r,s)-summing operators.

Contribution

It introduces a duality characterization of Lipschitz strongly p-summing operators and extends existing results to Lipschitz mappings with a new factorization theorem.

Findings

Dual space identified with Lipschitz strongly p-summing operators

Extended classical results to Lipschitz mappings

Provided a factorization theorem for Lipschitz (p,r,s)-summing operators

Abstract

We consider the space of molecules endowed with the transpose version of the Chevet-Saphar norm and we identify its dual space with the space of Lipschitz strongly p-summing operators. We also extend some old results to the category of Lipschitz mappings and we give a factorization result of Lipschitz (p,r,s)-summing operators.