Universidad Complutense de Madrid
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On denseness of certain norms in Banach spaces

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Jiménez Sevilla, María del Mar y Moreno, José Pedro (1996) On denseness of certain norms in Banach spaces. Bulletin of the Australian Mathematical Society, 54 (2). pp. 183-196. ISSN 0004-9727

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URL Oficial: http://0-journals.cambridge.org.cisne.sim.ucm.es/action/displayAbstract?fromPage=online&aid=4787532&fulltextType=RA&fileId=S0004972700017640




Resumen

We give several results dealing with denseness of certain classes of norms with many vertex points. We prove that, in Banach spaces with the Mazur or the weak* Mazur intersection property, every ball (convex body) can be uniformly approximated by balls (convex bodies) being the closed convex hull of their strongly vertex points. We also prove that given a countable set F, every norm can be uniformly approximated by norms which are locally linear at each point of F.


Tipo de documento:Artículo
Materias:Ciencias > Matemáticas > Geometría diferencial
Código ID:22698
Depositado:03 Sep 2013 14:22
Última Modificación:27 Jul 2018 07:58

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