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| Título: | Nonlinear aspects of super weakly compact sets |
| Fecha de publicación: | 2022 |
| Editorial: | Association des Annales de l'Institut Fourier |
| Cita bibliográfica: | Annales de l'Institut Fourier, Grenoble 72, 3 (2022) 1305-1328 |
| ISSN: | Print: 0373-0956 Electronic: 1777-5310 |
| Materias relacionadas: | CDU::5 - Ciencias puras y naturales::51 - Matemáticas::517 - Análisis |
| Palabras clave: | Super weakly compact sets Ultrapowers Uniformly convex sets Non linear embeddings in Banach spaces |
| Resumen: | 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. |
| Autor/es principal/es: | Raja Baño, Matías Lancien, Gilles |
| 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 |
| Versión del editor: | https://aif.centre-mersenne.org/articles/10.5802/aif.3488/ |
| URI: | http://hdl.handle.net/10201/139540 |
| DOI: | https://doi.org/10.5802/aif.3488 |
| Tipo de documento: | info:eu-repo/semantics/article |
| Número páginas / Extensión: | 25 |
| Derechos: | info:eu-repo/semantics/openAccess Attribution-NonCommercial-NoDerivatives 4.0 Internacional |
| Descripción: | ©<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 |
| Aparece en las colecciones: | Artículos: Matemáticas |
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| Fichero | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
| 2022_Fourier.pdf | Nonlinear aspects of super weakly compact sets | 1,36 MB | Adobe PDF |  Visualizar/Abrir |
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