This is an announcement for the paper “On the coarse geometry of the James space” by Gilles Lancienhttps://arxiv.org/search?searchtype=author&query=Lancien%2C+G, Colin Petitjeanhttps://arxiv.org/search?searchtype=author&query=Petitjean%2C+C, Antonín Procházkahttps://arxiv.org/search?searchtype=author&query=Proch%C3%A1zka%2C+A.
Abstract: In this note we prove that Kalton's interlaced graphs do not equi-coarsely embed into the James space J. This allows us to exhibit a coarse invariant for Banach spaces, namely the non equi-coarse embeddability of this family of graphs, which is very close but different from the celebrated property Q of Kalton.
The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1805.05171