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math.FA2026
A strictly convex and smooth Banach space with the Daugavet property
Sheldon Dantas, Jaan Kristjan Kaasik, Yoël Perreau
We construct equivalent norms on , arbitrarily close to the usual -norm, which are weakly midpoint locally uniformly rotund and Gâteaux smooth, and whose dual norms…
math.FA2026
A Banach space with an unconditional basis which is not slicely countably determined
Marcus Lõo, Yoël Perreau
In this note, we study the geometry of the unit ball of the Banach space generated by the adequate family of all subsets of branches of the infinite binary tree, and answer several…