English

On the composition ideals of Lipschitz mappings

Functional Analysis 2017-10-18 v2

Abstract

We study in this paper some property of Lipschitz mappings which admit factorization through an operator ideal. We try to construct Lipschitz cross-norms from known tensor norms in order to represent certain classes of Lipschitz mappings. Inspired by the definition of p-summing linear operators we introduce a new concpet in the the category of Lipschitz mappings that is called strictly Lipschitz p-summing.

Keywords

Cite

@article{arxiv.1507.05872,
  title  = {On the composition ideals of Lipschitz mappings},
  author = {Khalil Saadi},
  journal= {arXiv preprint arXiv:1507.05872},
  year   = {2017}
}