A Tensor representations of Cohen p-nuclear two- Lipschitz operator ideals

Abstract

The central framework of this research focuses on the intersection between nonlinear analysis and the structural. theory of Banach spaces. Specifically, it aims to introduce and formalize new examples of two-Lipschitz operator ideals, with a rigorous emphasis on the class of two-Lipschitz Cohen p-nuclear operators. Using modern composition methods, the study investigates the deep structural properties of these mathematical objects and successfully establishes an isometric tensor representation for this specific ideal. The ultimate goal is to extend classical linear ideal frameworks into nonlinear Lipschitz analysis, providing robust structural tools for future research.