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math.MG2025
On the uniform convexity of the squared distance
Andrei Sipos
In 1983, Zălinescu showed that the squared norm of a uniformly convex normed space is uniformly convex on bounded subsets. We extend this result to the metric setting of uniformly…
math.MG2024
Products of hyperbolic spaces
Pedro Pinto, Andrei Sipos
The class of uniformly smooth hyperbolic spaces was recently introduced by the first author as a common generalization of both CAT(0) spaces and uniformly smooth Banach spaces, in…