Publication: Nonlinear aspects of super weakly compact sets
Authors
Raja Baño, Matías ; Lancien, Gilles
item.page.secondaryauthor
item.page.director
Publisher
Association des Annales de l'Institut Fourier
publication.page.editor
publication.page.department
DOI
https://doi.org/10.5802/aif.3488
item.page.type
info:eu-repo/semantics/article
Description
©<2022>. This manuscript version is made available under the CC-BY-NC 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
This document is the, Published, version of a Published Work that appeared in final form in Annales de l'Institut Fourier. To access the final edited and published work see: https://doi.org/10.5802/aif.3488
Abstract
The 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 [32] 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 spaces.
publication.page.subject
Citation
Annales de l'Institut Fourier, Grenoble 72, 3 (2022) 1305-1328
item.page.embargo
Collections
Ir a Estadísticas
Este ítem está sujeto a una licencia Creative Commons. http://creativecommons.org/licenses/by-nc-nd/4.0/