On the range of TRO-conditional expectations

Y. Estaremi; M. Mathieu

doi:10.1016/j.laa.2023.04.002

On the range of TRO-conditional expectations

Y. Estaremi^*, M. Mathieu^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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Abstract

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 language	English
Pages (from-to)	78-103
Number of pages	26
Journal	Linear Algebra and its Applications
Volume	670
Early online date	21 Apr 2023
DOIs	https://doi.org/10.1016/j.laa.2023.04.002
Publication status	Published - 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.

Keywords

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

Access to Document

10.1016/j.laa.2023.04.002Licence: Unspecified

On the range of TRO-conditional expectations
Copyright 2023 Elsevier. This manuscript is distributed under a Creative Commons Attribution-NonCommercial-NoDerivatives License (https://creativecommons.org/licenses/by-nc-nd/4.0/), which permits distribution and reproduction for non-commercial purposes, provided the author and source are cited.
Accepted author manuscript, 496 KBLicence: CC BY-NC-ND

Cite this

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abstract = "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.",

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AB - 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.

KW - C-algebra

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KW - Ternary rings of operators

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