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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math.MG2026

Exact Banach-Mazur distances of certain $ℓ_{p}$ -sums and cones

Florian Grundbacher, Tomasz Kobos

We determine certain Banach-Mazur distances involving $ℓ_{p}$ -direct sums of finite-dimensional real normed spaces and related cone constructions of convex bodies. Using a recent…

math.MG2026

John-type decompositions for affinely-optimal positions of convex bodies

Florian Grundbacher, Tomasz Kobos

Many classical problems in convex geometry can be cast as optimization problems under certain containment conditions. The arguably best-understood example is volume-maximization of…

math.FA2026

A Complex Analogue of Spencer's Six Standard Deviations Theorem and the Complex Banach-Mazur Distance

Tomasz Kobos, Marin Varivoda

We investigate a complex analogue of Spencer's Six Standard Deviations Theorem. Specifically, we propose the following conjecture: for any dimension $n \geq 2$ , given vectors $a_1,…

Exact Banach-Mazur distances of certain ℓp​-sums and cones

John-type decompositions for affinely-optimal positions of convex bodies

A Complex Analogue of Spencer's Six Standard Deviations Theorem and the Complex Banach-Mazur Distance

Exact Banach-Mazur distances of certain $ℓ_{p}$ -sums and cones