10 citations · 14 across the 7 of their papers we have counts for
7 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…
Declipping and the recovery of vectors from saturated measurements
Wedad Alharbi, Daniel Freeman, Dorsa Ghoreishi +2
A frame for a Hilbert space allows for a linear and stable reconstruction of any vector from the linear measurements …
Nondentable Sets in Banach Spaces
S. J. Dilworth, Chris Gartland, Denka Kutzarova +1
In his study of the Radon Nikodým property of Banach spaces, Bourgain showed (among other things) that in any closed, bounded, convex set that is nondentable, one can find a se…
On the geometry of the countably branching diamond graphs
Florent P. Baudier, Ryan Causey, Stephen DIlworth +4
In this article, the bi-Lipschitz embeddability of the sequence of countably branching diamond graphs is investigated. In particular it is shown that for…
The transfer of property of Rolewicz by a uniform quotient map
S. J. Dilworth, Denka Kutzarova, N. Lovasoa Randrianarivony
We provide a Laakso construction to prove that the property of having an equivalent norm with the property of Rolewicz is qualitatively preserved via surjective uniform quoti…
Asymptotic geometry of Banach spaces and uniform quotient maps
S. J. Dilworth, Denka Kutzarova, G. Lancien +1
Recently, Lima and Randrianarivony pointed out the role of the property of Rolewicz in nonlinear quotient problems, and answered a ten-year-old question of Bates, Johnson, Li…
Property and uniform quotient maps
Vegard Lima, N. Lovasoa Randrianarivony
In 1999, Bates, Johnson, Lindenstrauss, Preiss and Schechtman asked whether a Banach space that is a uniform quotient of , , must be isomorphic to a…