1 citations · 1 across the 2 of their papers we have counts for
5 papers
Linear Expand-Contract Plasticity of Ellipsoids Revisited
Iryna Karpenko, Olesia Zavarzina
This work is aimed to describe linear expand-contract plastic ellipsoids given via quadratic form of a bounded positively defined self-adjoint operator in terms of its spectrum.
Generalized-lush spaces revisited
Vladimir Kadets, Olesia Zavarzina
We study geometric properties of GL-spaces. We demonstrate that every finite-dimensional GL-space is polyhedral; that in dimension 2 there are only two, up to isometry, GL-spaces,…
Linear expand-contract plasticity of ellipsoids in separable Hilbert spaces
Olesia Zavarzina
The paper is aimed to establish the interdependence between linear expand-contract plasticity of an ellipsoid in a separable Hilbert spaces and properties of the set of its semi-ax…
Non-expansive bijections, uniformities and polyhedral faces
Carlos Angosto, Vladimir Kadets, Olesia Zavarzina
We extend the result of B. Cascales at al. about expand-contract plasticity of the unit ball of strictly convex Banach space to those spaces whose unit ball is the union of all its…
Non-expansive bijections to the unit ball of -sum of strictly convex Banach spaces
Vladimir Kadets, Olesia Zavarzina
Extending recent results by Cascales, Kadets, Orihuela and Wingler (2016), Kadets and Zavarzina (2017), and Zavarzina (2017) we demonstrate that for every Banach space and ever…