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math.FA2024
On asymptotic B-convexity and infratype
Florent Baudier, Audrey Fovelle
In this note, we introduce and study the notions of asymptotic B-convexity and asymptotic infratype , and we prove asymptotic analogs of a series of results due to Giesy \cite{G…
math.FA2024
An asymptotic analog of a local-to-global phenomenon for uniformly convex renormings
Florent P. Baudier, Gilles Lancien
In this note, we investigate the renorming theory of Banach spaces with property of Rolewicz. In particular, we give a "coordinate-free" proof of the fact that every Banach s…