Banach limit in convexity and geometric means for convex bodies

Liran Rotem

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

In this note we construct Banach limits on the class of sequences of convex bodies. Surprisingly, the construction uses the recently introduced geometric mean of convex bodies. In the opposite direction, we explain how Banach limits can be used to construct a new variant of the geometric mean that has some desirable properties.

Original languageEnglish (US)
Pages (from-to)41-51
Number of pages11
JournalElectronic Research Announcements in Mathematical Sciences
Volume23
DOIs
StatePublished - Jan 30 2016

Keywords

  • Banach limit
  • Convex bodies
  • Geometric mean

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