19 citations · 23 across the 14 of their papers we have counts for
5 papers · 2 filters
On complementation and -embedding of Lipschitz-free spaces in their biduals
Bruno M. Braga, Chris Gartland, Gilles Lancien +3
A closed subspace of a Banach space is \emph{-embedded in } if there is a projection such that for all . We show that…
On the -embeddability of Lipschitz-free spaces in their biduals
Bruno de Mendonça Braga, Chris Gartland, Gilles Lancien +3
A Banach space is -embedded in its bidual if there is a projection such that for all . We show that, as long as $X…
Expanders prevent Property (H)
Bruno de Mendonç Braga, Chris Gartland, Gilles Lancien +3
We show that if a sequence of expander graphs equi-coarsely embeds into a Banach space, then this Banach space fails Kasparov and Yu's Property (H). Consequently, no Banach space w…
-distortion of Earth Mover Distances and Transportation Cost Spaces on High Dimensional Grids
Chris Gartland, Mikhail Ostrovskii, Yuval Rabani +1
We prove that the distortion of any embedding into of the transportation cost space or earth mover distance over a -dimensional grid is , wher…
Lower Estimates for -Distortion of Transportation Cost Spaces
Chris Gartland, Mikhail Ostrovskii
Quantifying the degree of dissimilarity between two probability distributions on a finite metric space is a fundamental task in Computer Science and Computer Vision. A natural diss…