4 citations · 8 across the 5 of their papers we have counts for
6 papers
Some natural subspaces and quotient spaces of
Gilles Godefroy, Nicolas Lerner
We show that the space is the dual space of where is the subspace of $L^{1}({\mathbb R}^{n}; {\mathbb R}…
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…
Free Banach spaces and the approximation properties
Gilles Godefroy, Narutaka Ozawa
We characterize the metric spaces whose free space has the bounded approximation property through a Lipschitz analogue of the local reflexivity principle. We show that there exist…
Tightness of Banach spaces and Baire category
Valentin Ferenczi, Gilles Godefroy
We prove several dichotomies on linear embeddings between Banach spaces. Given an arbitrary Banach space X with a basis, we show that the relations of isomorphism and bi-embedding…
Subspaces of c_0 and Lipschitz isomorphisms
G. Godefroy, N. J. Kalton, G. Lancien
We show that the class of subspaces of c_0 is stable under Lipschitz isomorphisms. The main corollary is that any Banach space which is Lipschitz isomorphic to c_0 is linearly isom…
Operators between subspaces and quotients of L1
G. Godefroy, N. Kalton, D. Li
We provide an unified approach of results of L. Dor on the complementation of the range, and of D. Alspach on the nearness from isometries, of small into isomorphisms of L1. We int…