On extreme points of the dual ball of a polyhedral space

• Autores: Roi Livni
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 24, Nº 3, 2009, págs. 243-249
• Idioma: inglés
• Enlaces
  • Texto completo  1    2 (pdf) 
• Resumen

  • We prove that every separable polyhedral Banach space X is isomorphic to a polyhedral Banach space Y such that, the set extBY ¤ cannot be covered by a sequence of balls B(yi; ²i) with 0 < ²i < 1 and ²i ! 0. In particular extBY ¤ cannot be covered by a sequence of norm compact sets. This generalizes a result from [7] where an equivalent polyhedral norm jjj ¢ jjj on c0 was constructed such that extB(c0;jjj¢jjj)¤ is uncountable but can be covered by a sequence of norm compact sets