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Triangular Operator Algebras and Simultaneous Triangularisation

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2022 MarcouxLW RadjaviH RosenthalP 2022 Triangular operator algebras and simultaneous triangularisation.pdf (170.57 KB)

Date

2023

Authors

Marcoux, Laurent
Radjavi, Heydar
Rosenthal, Peter

Journal Title

Journal ISSN

Volume Title

Publisher

American Mathematical Society

Abstract

We consider the question of whether every collection of compact operators that is contained in a triangular operator algebra (in the sense of Kadison and Singer) must be simultaneously triangularisable. The answer is shown to be affirmative if the collection consists of finite-rank operators or is a norm-closed algebra of compact operators.

Description

First published in the Proceedings of the American Mathematical Society in 151 (2023), published by the American Mathematical Society. https://doi.org/10.1090/proc/16159

Keywords

triangular algebras, simultaneous triangularisability, irreducible algebra, compact operators

LC Keywords

Citation

URI

https://doi.org/10.1090/proc/16159
 http://hdl.handle.net/10012/20319

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Waterloo Research