Subspaces of Hilbert-generated Banach spaces and the quantification of super weak compactness

Raja Baño, Matías; Grelier, Guillaume Guy Marcel

Publication:
Subspaces of Hilbert-generated Banach spaces and the quantification of super weak compactness

dc.contributor.author	Raja Baño, Matías
dc.contributor.author	Grelier, Guillaume Guy Marcel
dc.contributor.department	Matemáticas
dc.date.accessioned	2024-02-20T07:59:34Z
dc.date.available	2024-02-20T07:59:34Z
dc.date.issued	2023
dc.description	© 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
dc.description.abstract	We introduce a measure of super weak noncompactness Γ defined for bounded subsets and bounded linear operators in Banach spaces that allows to state and prove a charac-terization of the Banach spaces which are subspaces of a Hilbert-generated space. The use of super weak compactness and Γcasts light on the structure of these Banach spaces and complements the work of Argyros, Fabian, Farmaki, Godefroy, Hájek, Montesinos, Troyanski and Zizler on this subject. A particular kind of relatively super weakly compact sets, namely uniformly weakly null sets, plays an important role and exhibits connections with Banach-Saks type properties.	es
dc.format	application/pdf	es
dc.format.extent	19	es
dc.identifier.citation	Journal of Functional Analysis 284 (2023) 109889
dc.identifier.doi	https://doi.org/10.1016/j.jfa.2023.109889
dc.identifier.issn	Print: 0022-1236
dc.identifier.issn	Electronic: 1096-0783
dc.identifier.uri	http://hdl.handle.net/10201/139522
dc.language	eng	es
dc.publisher	Elsevier
dc.relation	This research has been 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.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 weak compactness	en
dc.subject	Uniformly weakly null sets	en
dc.subject	Hilbert-generated spaces	en
dc.subject	Uniformly Eberlein compact sets	en
dc.subject.other	CDU::5 - Ciencias puras y naturales::51 - Matemáticas::517 - Análisis	es
dc.title	Subspaces of Hilbert-generated Banach spaces and the quantification of super weak compactness	es
dc.type	info:eu-repo/semantics/article	es
dspace.entity.type	Publication	es