Un espace de Banach réticulé qui a presque la propriété de Radon-Nikodym
Un espace jouissant de la propriété de Schur et de la propriété de Radon-Nikodym
Un espace non Radon-Nikodým sans arbre diadique
Unconditional bases and the Radon-Nikodym property
Unconditional ideals in Banach spaces
We show that a Banach space with separable dual can be renormed to satisfy hereditarily an “almost” optimal uniform smoothness condition. The optimal condition occurs when the canonical decomposition is unconditional. Motivated by this result, we define a subspace X of a Banach space Y to be an h-ideal (resp. a u-ideal) if there is an hermitian projection P (resp. a projection P with ∥I-2P∥ = 1) on Y* with kernel . We undertake a general study of h-ideals and u-ideals. For example we show that...
Une caractérisation de la propriété de Radon-Nikodym analytique pour les espaces de Banach isomorphes a leur carrés.
Uniform Convergence of Operators and Grothendieck Spaces with the Dunford-Pettis Property.