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math.FA2025
Geometric conditions which imply -normal structure
Deepak Gothwal, T. S. S. R. K. Rao
Let be a complex Banach space. In their seminal work, Lau and Mah (\cite{LM}) study a geometric property called Lim's condition which, for separable , implies that for any n…
math.FA2025
(Asymptotic) uniform smoothness, ball separation and residuality results
Pradipta Bandyopadhyay, Deepak Gothwal
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 e…