R. Haller

activity

20132026

most citedStability of average roughness, octahedrality, and strong diameter 2 properties of Banach spaces with respect to absolute sums

10 citations · 24 across the 14 of their papers we have counts for

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Showing 2026 · math.FAShow all

4 papers · 2 filters

math.FA2026

Isometric copies of $ℓ_{\infty}^{n}$ in Lipschitz-free spaces over finite metric spaces

Rainis Haller

For every $n \in N$ , we construct a finite metric subspace $M_{n}$ of $ℓ_{\infty}^{n}$ such that the Lipschitz-free space $F (M_{n})$ contains a linear isometric copy of $…

math.FA2026

Weak stability and binary convex combinations of slices

Rainis Haller

We study weak openness and related geometric properties of convex combinations of slices of the unit balls of Banach spaces. We prove that, for every $m \geq 2$ , properties $\mathrm…

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.FA2026

A counterexample for the Daugavet index of thickness in $ℓ_{1}$ -sums

Rainis Haller, Andre Ostrak

We give a negative answer to a question of Haller-Langemets-Lima-Nadel-Rueda Zoca asking whether, for all Banach spaces $X$ and $Y$ , the Daugavet index of thickness satisfies \[ T(…

Isometric copies of ℓ∞n​ in Lipschitz-free spaces over finite metric spaces

Weak stability and binary convex combinations of slices

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

A counterexample for the Daugavet index of thickness in ℓ1​-sums

Isometric copies of $ℓ_{\infty}^{n}$ in Lipschitz-free spaces over finite metric spaces

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

A counterexample for the Daugavet index of thickness in $ℓ_{1}$ -sums