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Jiménez Sevilla, María del Mar and 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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## Abstract

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.

Item Type: | Article |
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Subjects: | Sciences > Mathematics > Differential geometry |

ID Code: | 22698 |

Deposited On: | 03 Sep 2013 14:22 |

Last Modified: | 27 Jul 2018 07:58 |

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