Lipschitz operator ideals and the approximation property

By D. Achour, P. Rueda, Enrique Alfonso Sánchez-Pérez, R. Yahi. 2016

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Abstract We establish the basics of the theory of Lipschitz operator ideals with the aim of recovering several classes of Lipschitz maps related to absolute summability that have been introduced in the literature in the last years. As an application we extend the notion and main results on the approximation property for Banach spaces to the case of metric spaces.

Subfields: Applied Mathematics, Mathematical Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/8e289314cb7c04b73f0537d45a8bb1c56807f656