Nonlinear aspects of super weakly compact sets

Raja Baño, Matías; Lancien, Gilles

Publication:
Nonlinear aspects of super weakly compact sets

dc.contributor.author	Raja Baño, Matías
dc.contributor.author	Lancien, Gilles
dc.contributor.department	Matemáticas
dc.date.accessioned	2024-02-20T07:58:13Z
dc.date.available	2024-02-20T07:58:13Z
dc.date.issued	2022
dc.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
dc.description.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.	es
dc.format	application/pdf	es
dc.format.extent	25	es
dc.identifier.citation	Annales de l'Institut Fourier, Grenoble 72, 3 (2022) 1305-1328
dc.identifier.doi	https://doi.org/10.5802/aif.3488
dc.identifier.issn	Print: 0373-0956
dc.identifier.issn	Electronic: 1777-5310
dc.identifier.uri	http://hdl.handle.net/10201/139540
dc.language	eng	es
dc.publisher	Association des Annales de l'Institut Fourier
dc.relation	The first-named author was supported by the French “Investissements d’Avenir” program, project ISITE-BFC (contract ANR-15-IDEX-03). The second-named author was supported by the Grants of Ministerio de Economía, Industria y Competitividad MTM2017-83262-C2-2-P; and Fundación Séneca Región de Murcia 20906/PI/18.	es
dc.relation.publisherversion	https://aif.centre-mersenne.org/articles/10.5802/aif.3488/
dc.rights	info:eu-repo/semantics/openAccess	es
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Super weakly compact sets	en
dc.subject	Ultrapowers	en
dc.subject	Uniformly convex sets	en
dc.subject	Non linear embeddings in Banach spaces	en
dc.subject.other	CDU::5 - Ciencias puras y naturales::51 - Matemáticas::517 - Análisis	es
dc.title	Nonlinear aspects of super weakly compact sets	es
dc.type	info:eu-repo/semantics/article	es
dspace.entity.type	Publication	es