O. Zavarzina

collaborators

2 papers

math.FA2026

On the plasticity of the unit spheres of $ℓ_{1}$ , $ℓ_{\infty}$ , $c$ , and Hilbert spaces

Maksym Levchenko, Olesia Zavarzina

This paper demonstrates the expand-contract plasticity of the unit spheres of $ℓ_{1}$ , $ℓ_{\infty}$ , and $c$ . Furthermore, it establishes the strong plasticity of the unit sphe…

math.GN2026

Plastic metric spaces and groups

Taras Banakh, Oles Mazurenko, Olesia Zavarzina

A metric space is plastic if all its non-expansive bijections are isometries. We prove three main results: (1) every countable dense subspace of a normed space is not plastic, (2)…

On the plasticity of the unit spheres of ℓ1​, ℓ∞​, c, and Hilbert spaces

Plastic metric spaces and groups

On the plasticity of the unit spheres of $ℓ_{1}$ , $ℓ_{\infty}$ , $c$ , and Hilbert spaces