Tomasz Kobos

activity

20172026

most citedExtremal Banach-Mazur distance between a symmetric convex body and an arbitrary convex body on the plane

3 citations · 3 across the 9 of their papers we have counts for

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2 papers · 1 filter

math.FA2017★ 3 cited

Extremal Banach-Mazur distance between a symmetric convex body and an arbitrary convex body on the plane

Tomasz Kobos

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

math.FA2017

Stability result for the extremal Grünbaum distance between convex bodies

Tomasz Kobos

In 1963 Grünbaum introduced the following variation of the Banach-Mazur distance for arbitrary convex bodies $K, L \subset R^{n}$ : $d_G(K, L) = \inf \{ |r| \ : \ K' \subset…