Unit balls of polyhedral Banach spaces with many extreme points

Carlo Alberto De Bernardi*

*Corresponding author

Research output: Contribution to journalArticle

Abstract

Let E be a (IV)-polyhedral Banach space. We show that, for each epsilon > 0, E admits an epsilon-equivalent (V)-polyhedral norm such that the corresponding closed unit ball is the closed convex hull of its extreme points. In particular, every separable isomorphically polyhedral Banach space has this property.
Original languageEnglish
Pages (from-to)175-196
Number of pages22
JournalStudia Mathematica
Volume275
DOIs
Publication statusPublished - 2024

Keywords

  • extreme point
  • polyhedral Banach space

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