Jiménez Sevilla, María Del MarMoreno, José Pedro2023-06-202023-06-2019960004-9727https://hdl.handle.net/20.500.14352/58716We 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.engjournal articlehttp://0-journals.cambridge.org.cisne.sim.ucm.es/action/displayAbstract?fromPage=online&aid=4787532&fulltextType=RA&fileId=S0004972700017640http://0-journals.cambridge.org.cisne.sim.ucm.es/action/login?sessionId=8879B93727AC1AB44D1A4D6F56BEADCB.journalsrestricted access514.7Geometría diferencial1204.04 Geometría Diferencial