This is an announcement for the paper “Extremal Banach-Mazur distance between a symmetric convex body and an arbitrary convex body on the plane” by Tomasz Koboshttps://arxiv.org/find/math/1/au:+Kobos_T/0/1/0/all/0/1.

Abstract: We prove that if $K, L\subset\mathbb{R}^2$ are convex bodies such that $L$ is symmetric and the Banach-Mazur distance between $K$ and $L$ is equal to $2$, then $K$ is the triangle.

The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1711.01787