Extreme Points, Exposed Points and Smooth Points of the Space [Formula presented]

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Abstract

We present a complete description of all the extreme points of the unit ball of [Formula presented] which leads to a complete formula for [Formula presented] for every [Formula presented]. We also show that ext.B [Formula presented] for every n > 4. Using the formula for [Formula presented] for every [Formula presented], we show that every extreme point of the unit ball of [Formula presented] is exposed.

Original languageEnglish
Pages (from-to)485-505
Number of pages21
JournalKyungpook Mathematical Journal
Volume60
Issue number3
DOIs
StatePublished - 2020

Keywords

  • exposed points
  • extreme points
  • smooth points
  • symmetric bilinear forms on R3 with the supremum norm

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