Add to ORKGInternational audienceThe notion of super weak compactness for subsets of Banach spaces is a strengthening of the weak compactness that can be described as a local version of super-reflexivity. A recent result of K. Tu [34] which establishes that the closed convex hull of a super weakly compact set is super weakly compact has removed the main obstacle to further development of the theory. In this paper we provide a variety of results around super weak compactness in order to show the great scope of this notion. We also give non linear characterizations of super weak compactness in terms of the (non) embeddability of special trees and graphs. We conclude with a few relevant examples of super weakly compact sets in non super-reflexive Banach ...
summary:We characterize Banach lattices under which each b-weakly compact (resp. b-AM-compact, stron...
Let X be a Banach space and X* its dual space. The classical Alaoglu theorem states that closed ball...
Let X be a Banach space and X* its dual space. The classical Alaoglu theorem states that closed ball...
International audienceThe notion of super weak compactness for subsets of Banach spaces is a strengt...
International audienceThe notion of super weak compactness for subsets of Banach spaces is a strengt...
International audienceThe notion of super weak compactness for subsets of Banach spaces is a strengt...
International audienceThe notion of super weak compactness for subsets of Banach spaces is a strengt...
The main topic of this thesis is the measures of weak non-compactness, which, in different ways, mea...
AbstractLet K be a weakly compact, convex subset of a Banach space X with normal structure. Browder–...
Throughout [this paper], E and F will denote Banach spaces. The bounded weak topology on a Banach sp...
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...
Let X be a Banach space and X* its dual space. The classical Alaoglu theorem states that closed ball...
Let X be a Banach space and X* its dual space. The classical Alaoglu theorem states that closed ball...
summary:We characterize Banach lattices under which each b-weakly compact (resp. b-AM-compact, stron...
summary:We characterize Banach lattices under which each b-weakly compact (resp. b-AM-compact, stron...
Let X be a Banach space and X* its dual space. The classical Alaoglu theorem states that closed ball...
Let X be a Banach space and X* its dual space. The classical Alaoglu theorem states that closed ball...
International audienceThe notion of super weak compactness for subsets of Banach spaces is a strengt...
International audienceThe notion of super weak compactness for subsets of Banach spaces is a strengt...
International audienceThe notion of super weak compactness for subsets of Banach spaces is a strengt...
International audienceThe notion of super weak compactness for subsets of Banach spaces is a strengt...
The main topic of this thesis is the measures of weak non-compactness, which, in different ways, mea...
AbstractLet K be a weakly compact, convex subset of a Banach space X with normal structure. Browder–...
Throughout [this paper], E and F will denote Banach spaces. The bounded weak topology on a Banach sp...
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...
Let X be a Banach space and X* its dual space. The classical Alaoglu theorem states that closed ball...
Let X be a Banach space and X* its dual space. The classical Alaoglu theorem states that closed ball...
summary:We characterize Banach lattices under which each b-weakly compact (resp. b-AM-compact, stron...
summary:We characterize Banach lattices under which each b-weakly compact (resp. b-AM-compact, stron...
Let X be a Banach space and X* its dual space. The classical Alaoglu theorem states that closed ball...
Let X be a Banach space and X* its dual space. The classical Alaoglu theorem states that closed ball...