Nikita Leo

collaborators

3 papers

math.FA2026

Plasticity of the unit ball of the real Banach space $ℓ_{\infty}$

Rainis Haller, Nikita Leo

We prove that the closed unit ball of the real Banach space $ℓ_{\infty}$ is plastic, that is, every non-expansive bijection from the unit ball onto itself is an isometry. The main…

math.FA2021

Two new examples of Banach spaces with a plastic unit ball

Rainis Haller, Nikita Leo, Olesia Zavarzina

We prove that Banach spaces $ℓ_{1} \oplus_{2} R$ and $X \oplus_{\infty} Y$ , with strictly convex $X$ and $Y$ , have plastic unit balls (we call a metric space plastic if every no…

math.FA2021

Plasticity of the unit ball of $c$ and $c_{0}$

Nikita Leo

We prove the plasticity of the unit ball of $c$ . That is, we show that every non-expansive bijection from the unit ball of $c$ onto itself is an isometry. We also demonstrate a sli…

Plasticity of the unit ball of the real Banach space ℓ∞​

Two new examples of Banach spaces with a plastic unit ball

Plasticity of the unit ball of c and c0​

Plasticity of the unit ball of the real Banach space $ℓ_{\infty}$

Plasticity of the unit ball of $c$ and $c_{0}$