# Further results on strictly Lipschitz summing operators

## TL;DR

This paper introduces new classes of Lipschitz operators, including strictly Lipschitz p-nuclear and (p,r,s)-summing operators, with characterizations, properties, and factorization results to enhance the understanding of Lipschitz summing mappings.

## Contribution

It provides new characterizations and definitions for strictly Lipschitz p-summing operators and introduces related classes with their properties and factorizations.

## Key findings

- New characterizations of strictly Lipschitz p-summing operators
- Introduction of strictly Lipschitz p-nuclear and (p,r,s)-summing operators
- Established properties and factorization results for these classes

## Abstract

We give some new characterizations of strictly Lipschitz p-summing operators. These operators have been introduced in order to improve the Lipschitz p-summing operators. Therefore, we adapt this definition for constructing other classes of Lipschitz mappings which are called strictly Lipschitz p-nuclear and strictly Lipschitz (p,r,s)-summing operators. Some interesting properties and factorization results are obtained for these new classes.