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Título: | Subspaces of Hilbert-generated Banach spaces and the quantification of super weak compactness |
Fecha de publicación: | 2023 |
Editorial: | Elsevier |
Cita bibliográfica: | Journal of Functional Analysis 284 (2023) 109889 |
ISSN: | Print: 0022-1236 Electronic: 1096-0783 |
Materias relacionadas: | CDU::5 - Ciencias puras y naturales::51 - Matemáticas::517 - Análisis |
Palabras clave: | Super weak compactness Uniformly weakly null sets Hilbert-generated spaces Uniformly Eberlein compact sets |
Resumen: | 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. |
Autor/es principal/es: | Raja Baño, Matías Grelier, Guillaume Guy Marcel |
Facultad/Departamentos/Servicios: | Facultades, Departamentos, Servicios y Escuelas::Facultades de la UMU::Facultad de Matemáticas Facultades, Departamentos, Servicios y Escuelas::Departamentos de la UMU::Matemáticas |
URI: | http://hdl.handle.net/10201/139522 |
DOI: | https://doi.org/10.1016/j.jfa.2023.109889 |
Tipo de documento: | info:eu-repo/semantics/article |
Número páginas / Extensión: | 19 |
Derechos: | info:eu-repo/semantics/openAccess Attribution-NonCommercial-NoDerivatives 4.0 Internacional |
Descripción: | © 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/). |
Aparece en las colecciones: | Artículos: Matemáticas |
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