La propriété de Radon-Nikodym dans un dual, d'après C. Stegall
Large subsets of dual Banach spaces
Les points extremes et les points unis de la boule unitée étudiés au moyen du semi-produit scalaire
Les systémes orthonormaux dans des espaces vectoriels normés
Linear topologies which are suprema of dual-less topologies
Local dual spaces of a Banach space
We study the local dual spaces of a Banach space X, which can be described as the subspaces of X* that have the properties that the principle of local reflexivity attributes to X as a subspace of X**. We give several characterizations of local dual spaces, which allow us to show many examples. Moreover, every separable space X has a separable local dual Z, and we can choose Z with the metric approximation property if X has it. We also show that a separable space containing no...
Local Reflexivity and (p, g)-Summing Maps.
Locally flat Banach spaces
The notion of functions dependent locally on finitely many coordinates plays an important role in the theory of smoothness and renormings on Banach spaces, especially when higher order smoothness is involved. In this note we investigate the structural properties of Banach spaces admitting (arbitrary) bump functions depending locally on finitely many coordinates.