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Faces and renormings of ℓ1
dc.contributor.author | Navarro Pascual, Juan Carlos | |
dc.contributor.author | Zarauz Moreno, Antonio | |
dc.date.accessioned | 2023-01-26T07:27:46Z | |
dc.date.available | 2023-01-26T07:27:46Z | |
dc.date.issued | 2022-12-29 | |
dc.identifier.issn | 2227-7390 | |
dc.identifier.uri | http://hdl.handle.net/10835/14184 | |
dc.description.abstract | The faces of the unit ball of a finite-dimensional Banach space are automatically closed. The situation is different in the infinite-dimensional case. In fact, under this last condition, the closure of a face may not be a face. In this paper, we discuss these issues in an expository style. In order to illustrate the described situation we consider an equivalent renorming of the Banach space ℓ1. | es_ES |
dc.language.iso | en | es_ES |
dc.publisher | MDPI | es_ES |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | convex set | es_ES |
dc.subject | face of a convex set | es_ES |
dc.subject | equivalent renorming of a Banach space | es_ES |
dc.title | Faces and renormings of ℓ1 | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.relation.publisherversion | https://www.mdpi.com/2227-7390/11/1/193 | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
dc.identifier.doi | 10.3390/math11010193 |