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arXiv · 1507.05872

On the composition ideals of Lipschitz mappings

Khalil Saadi
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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.

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Khalil Saadi. 2017-02-14. On the composition ideals of Lipschitz mappings. https://doi.org/10.1215/17358787-2017-0019

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