On the composition ideals of Lipschitz mappings

Abstract

We study some properties of Lipschitz mappings which admit factorization through an operator ideal. Lipschitz cross norms have been established from known tensor norms in order to represent certain classes of Lipschitz mappings. Inspired by the definition of $p$-summing linear operators, we derive a new class of Lipschitz mappings that is called strictly Lipschitz $p$-summing.