Factorable and strictly singular operators in a product space
Factorization of compact operators and applications to the approximation problem
Familles absolument sommables et propriété de Radon-Nikodym
First results on spectrally bounded operators
A linear mapping T from a subspace E of a Banach algebra into another Banach algebra is defined to be spectrally bounded if there is a constant M ≥ 0 such that r(Tx) ≤ Mr(x) for all x ∈ E, where r(·) denotes the spectral radius. We study some basic properties of this class of operators, which are sometimes analogous to, sometimes very different from, those of bounded operators between Banach spaces.
Fixed point theorems in cone Banach spaces.
Fragmentable mappings and CHART groups
The purpose of this note is two-fold: firstly, to give a new and interesting result concerning separate and joint continuity, and secondly, to give a stream-lined (and self-contained) proof of the fact that "tame" CHART groups are topological groups.
Fréchet differentiability of Lipschitz functions via a variational principle
Fredholm random operators and random subspaces in Banach spaces