Sections of convex bodies and Hanner polytopes

期刊论文
发表日期：

2024年7月5日

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Xinbao Lu,
Jiangyan Tao,
Ge Xiong

摘要

Bounds for the volume of sections of convex bodies which are in the $L_p$ $L_{p}$ John ellipsoid positions are established. Specifically, when the convex bodies are in the LYZ ellipsoid position, we construct a set of Hanner polytopes attaining the sharp bounds.