Local properties of ternary rings of operators and their linking C*-algebras

Manmohan Kaur, Zhong Jin Ruan

Research output: Contribution to journalArticlepeer-review

Abstract

We show that some local properties (such as nuclearity, exactness, and local reflexivity) of ternary rings of operators (TROs) are closely related to the local properties of their linking C*-algebras. We also show some equivalent conditions for nuclear TROs, and show that Haagerup's decomposition property for completely bounded maps and Pisier's δ-norm can be naturally generalized to TROs.

Original languageEnglish (US)
Pages (from-to)262-305
Number of pages44
JournalJournal of Functional Analysis
Volume195
Issue number2
DOIs
StatePublished - Nov 10 2002

Keywords

  • -algetras
  • C
  • Local theory
  • Operator spaces
  • TROs

ASJC Scopus subject areas

  • Analysis

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