Tomasz Kobos

collaborators

3 papers

math.FA2025

Spaces with the maximal projection constant revisited

Tomasz Kobos

Let $n \geq 2$ be an integer such that an equiangular set of vectors $w_{1}, \dots, w_{d}$ of the maximal possible cardinality (in relation to the the general Gerzon upper bound) exis…

math.FA2025

$2$ -strong uniqueness of a best approximation and of minimal projections in complex polytope norms and their duals

Tomasz Kobos, Grzegorz Lewicki

We study a property of $2$ -strong uniqueness of a best approximation in a class of finite-dimensional complex normed spaces, for which the unit ball is an absolutely convex hull of…

math.MG2023

On the Banach-Mazur Distance in Small Dimensions

Tomasz Kobos, Marin Varivoda

We establish some results on the Banach-Mazur distance in small dimensions. Specifically, we determine the Banach-Mazur distance between the cube and its dual (the cross-polytope)…

Spaces with the maximal projection constant revisited

2-strong uniqueness of a best approximation and of minimal projections in complex polytope norms and their duals

On the Banach-Mazur Distance in Small Dimensions

$2$ -strong uniqueness of a best approximation and of minimal projections in complex polytope norms and their duals