This is an announcement for the paper "On the composition ideals of Lipschitz mappings" by khalil saadi.

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.

Archive classification: math.FA

Mathematics Subject Classification: [2000] 47B10, 46B28, 47L20

Report Number: 21 pages

Submitted from: kh_saadi@yahoo.fr

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1507.05872

or

http://arXiv.org/abs/1507.05872