On the range of TRO-conditional expectations

Y. Estaremi*, M. Mathieu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The purpose of this paper is to discuss the relationship between a TRO T and a sub-TRO S that is the range of a TRO-conditional expectation on T (a ternary corner) by investigating a class D of bounded linear maps on T. We pay particular attention to the case when the TROs contain partial isometries.

Original languageEnglish
Pages (from-to)78-103
Number of pages26
JournalLinear Algebra and its Applications
Early online date21 Apr 2023
Publication statusPublished - 01 Aug 2023

Bibliographical note

Funding Information:
This paper was written during a sabbatical stay of the first-named author at Queen's University Belfast.

Publisher Copyright:
© 2023 Elsevier Inc.


  • C*-algebra
  • Conditional expectations
  • Ternary rings of operators

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Numerical Analysis
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics

Cite this