Add to ORKGAbstract. We prove that if X is an infinite-dimensional Banach space with Cp smooth partitions of the unity then X and X \K are Cp diffeomorphic, for every weakly compact set K ⊂ X
AbstractWe give characterizations of weakly compactly generated spaces, their subspaces, Vašák space...
AbstractLet Γ denote an uncountable set. We consider the questions if a Banach space X of the form C...
International audienceWe prove a general principle satisfied by weakly precompact sets of Lipschitz-...
AbstractIf X∗ is a weakly compactly generated (WCG) Banach space, then X admits an equivalent C1-smo...
Abstract. We prove that for every infinite-dimensional Banach space X with a Fréchet differentiable...
We prove that for every infinite-dimensional Banach space X with a Fréchet differentiable norm, the ...
AbstractLet X and Y be two Banach spaces. In this short note we show that every weakly compact subse...
A simple remark on the localization of the extreme points of the unit ball of the dual of the space ...
Weakly compact sets in Banach spaces are fragmentable. We introduce the weaker notion of the a-fragm...
AbstractLet K be a weakly compact, convex subset of a Banach space X with normal structure. Browder–...
summary:An infinite dimensional counterpart of uniform smoothness is studied. It does not imply refl...
Throughout [this paper], E and F will denote Banach spaces. The bounded weak topology on a Banach sp...
Let X be a Banach space and X* its dual space. The classical Alaoglu theorem states that closed ball...
AbstractIn this paper we introduce the concept of small-weak-infinite-dimensionality. We show that a...
Throughout this note, whenever K is a compact space C(K) denotes the Banach space of continuous func...
AbstractWe give characterizations of weakly compactly generated spaces, their subspaces, Vašák space...
AbstractLet Γ denote an uncountable set. We consider the questions if a Banach space X of the form C...
International audienceWe prove a general principle satisfied by weakly precompact sets of Lipschitz-...
AbstractIf X∗ is a weakly compactly generated (WCG) Banach space, then X admits an equivalent C1-smo...
Abstract. We prove that for every infinite-dimensional Banach space X with a Fréchet differentiable...
We prove that for every infinite-dimensional Banach space X with a Fréchet differentiable norm, the ...
AbstractLet X and Y be two Banach spaces. In this short note we show that every weakly compact subse...
A simple remark on the localization of the extreme points of the unit ball of the dual of the space ...
Weakly compact sets in Banach spaces are fragmentable. We introduce the weaker notion of the a-fragm...
AbstractLet K be a weakly compact, convex subset of a Banach space X with normal structure. Browder–...
summary:An infinite dimensional counterpart of uniform smoothness is studied. It does not imply refl...
Throughout [this paper], E and F will denote Banach spaces. The bounded weak topology on a Banach sp...
Let X be a Banach space and X* its dual space. The classical Alaoglu theorem states that closed ball...
AbstractIn this paper we introduce the concept of small-weak-infinite-dimensionality. We show that a...
Throughout this note, whenever K is a compact space C(K) denotes the Banach space of continuous func...
AbstractWe give characterizations of weakly compactly generated spaces, their subspaces, Vašák space...
AbstractLet Γ denote an uncountable set. We consider the questions if a Banach space X of the form C...
International audienceWe prove a general principle satisfied by weakly precompact sets of Lipschitz-...