3 papers
math.FA2026
Nonlinear type and metric embeddings of lamplighter spaces
C. Gartland, B. Randrianantoanina, N. L. Randrianarivony
We prove that for all metric spaces the following properties of the lamplighter space are equivalent: (1) every snowflake of admits a biLipsch…
math.FA2025
Bi-Lipschitz embedding properties of lamplighter graphs on weighted and unweighted trees
Charlotte Melby, Beata Randrianantoanina
In 2021 Baudier, Motakis, Schlumprecht, and Zsák proved that if a sequence of graphs contains the sequence of complete graphs with uniformly bounded dis…
math.FA2024
On the relations between Auerbach or almost Auberbach Markushevich systems and Schauder bases
Beata Randrianantoanina, MichaÅ Wojciechowski, Pavel Zatitskii
We establish that the summability of the series is the necessary and sufficient criterion ensuring that every Markushevich basis in a separa…