Ideal decompositions of a ternary ring of operators with predual

Masayoshi Kaneda

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We show that any TRO (ternary ring of operators) with predual can be decomposed into the direct sum of a two-sided ideal, a left ideal, and a right ideal in some von Neumann algebra using an extreme point of the unit ball of the TRO.

Original languageEnglish
Pages (from-to)297-303
Number of pages7
JournalPacific Journal of Mathematics
Volume266
Issue number2
DOIs
Publication statusPublished - 2013
Externally publishedYes

Keywords

  • Dual operator spaces
  • Extreme points
  • Ideals
  • Ternary rings of operators
  • Von Neumann algebras

ASJC Scopus subject areas

  • Mathematics(all)

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