8 citations · 13 across the 6 of their papers we have counts for
4 papers · 1 filter
Three-space property for asymptotically uniformly smooth renormings
P. A. H. Brooker, G. Lancien
We prove that if is a closed subspace of a Banach space such that and admit an equivalent asymptotically uniformly smooth norm, then also admits an equivalent…
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…
The non-linear geometry of Banach spaces after Nigel Kalton
Gilles Godefroy, Gilles Lancien, Vaclav Zizler
This is a survey of some of the results which were obtained in the last twelve years on the non-linear geometry of Banach spaces. We focus on the contribution of the late Nigel Kal…
Approximation properties and Schauder decompositions in Lipschitz-free spaces
Gilles Lancien, Eva Pernecka
We prove that the Lipschitz-free space over a doubling metric space has the bounded approximation property. We also show that the Lipschitz-free spaces over or …