3 citations · 6 across the 30 of their papers we have counts for
34 papers
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…
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 dist…
On the relations between Auerbach or almost Auberbach Markushevich systems and Schauder bases
Beata Randrianantoanina, Michał 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…
On -embeddability of unions of -embeddable metric spaces and of twisted unions of hypercubes
Mikhail Ostrovskii, Beata Randrianantoanina
We study properties of twisted unions of metric spaces introduced by Johnson, Lindenstrauss, and Schechtman, and by Naor and Rabani. In particular, we prove that under certain natu…
On Mazur rotations problem and its multidimensional versions
Félix Cabello Sánchez, Valentin Ferenczi, Beata Randrianantoanina
The article is a survey related to a classical unsolved problem in Banach space theory, appearing in Banach's famous book in 1932, and known as the Mazur rotations problem. Althoug…
Bourgain discretization using Lebesgue-Bochner spaces
Mikhail I. Ostrovskii, Beata Randrianantoanina
We study the Lebesgue-Bochner discretization property of Banach spaces , which ensures that the Bourgain's discretization modulus for has a good lower estimate. We prove tha…