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arXiv · 2610.34113

The Strong Mankiewicz Property for Closed Convex Body in Normed Spaces

Ruidong Wang·Jianglong Luo·Li Tang
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Abstract

Mori and Ozawa raised a fundamental open question: whether every convex body in a normed space enjoys the strong Mankiewicz property (SMP). The SMP states that every surjective isometry from the convex body onto a convex subset of an arbitrary real normed space is necessarily real-affine, with no interior assumption imposed on the target convex set. In the present work, we settle this problem affirmatively.

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Ruidong Wang, Jianglong Luo, Li Tang. 2026-10-25. The Strong Mankiewicz Property for Closed Convex Body in Normed Spaces. https://arxiv.org/abs/2610.34113

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