(Asymptotic) uniform smoothness, ball separation and residuality results

Pradipta Bandyopadhyay; Deepak Gothwal

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arXiv · 2502.18217

(Asymptotic) uniform smoothness, ball separation and residuality results

Pradipta Bandyopadhyay·Deepak Gothwal

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Abstract

In this article, we discuss a ball separation characterisation of asymptotically uniformly smooth (AUS) norms. We use this characterisation to prove the residuality of the set of equivalent AUS norms. We discuss similar residuality results for uniformly smooth norms and norms with uniform Mazur intersection property (UMIP).

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Pradipta Bandyopadhyay, Deepak Gothwal. 2025-02-25. (Asymptotic) uniform smoothness, ball separation and residuality results. https://arxiv.org/abs/2502.18217

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