On the composition ideals of Lipschitz mappings

On the composition ideals of Lipschitz mappings

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 i...

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Veröffentlicht in:arXiv.org 2017-02
1. Verfasser: Saadi, Khalil
Format: Artikel
Sprache:eng
Schlagworte:
Linear operators
Mathematics - Functional Analysis
Norms
Tensors
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Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1507.05872