Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Wang, Ruidong, Luo, Jianglong, Tang, Li
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223863850