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Article Dans Une Revue North-Western European Journal of Mathematics Année : 2017

Some properties of coarse Lipschitz maps between Banach spaces

Résumé

We study the structure of the space of coarse Lipschitz maps between Banach spaces. In particular we introduce the notion of norm attaining coarse Lipschitz maps. We extend to the case of norm attaining coarse Lipschitz equivalences, a result of G. Godefroy on Lipschitz equivalences. This leads us to include the non separable versions of classical results on the stability of the existence of asymptotically uniformly smooth norms under Lipschitz or coarse Lipschitz equivalences.
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hal-01763778 , version 1 (11-04-2018)

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Gilles Lancien, Aude Dalet. Some properties of coarse Lipschitz maps between Banach spaces. North-Western European Journal of Mathematics, 2017. ⟨hal-01763778⟩
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