Jiménez Sevilla, María Del MarMoreno, José Pedro2023-06-202023-06-2019950764-4442https://hdl.handle.net/20.500.14352/58721We answer a question posed by J. R. Giles, D. A. Gregory and B. Sims, on the Mazur intersection property, by exhibiting a class of non Asplund spaces admitting an equivalent norm with the above property. On the other hand, if the continuum hypothesis is assumed, we nd an Asplund space admitting no equivalent norm with the Mazur intersection property and whose dual space admits no equivalent norm with the weak* Mazur intersection property.engjournal articlehttp://www.refdoc.fr/Detailnotice?idarticle=16138734http://www.elsevier.com/journals/comptes-rendus-mathematique/1631-073Xrestricted access517Mazur intersection propertyNon-Asplund spacesEquivalent normWeak* Mazur intersection propertyAnálisis matemático1202 Análisis y Análisis Funcional