Lie centralizers on triangular rings and nest algebras

Ajda Fošner; Wu Jing

doi:10.15352/aot.1804-1341

Abstract

‎‎‎We introduce the definition of Lie centralizers and investigate the additivity of Lie centralizers on triangular rings‎. ‎We also present characterizations of both centralizers and Lie centralizers on triangular rings and nest algebras‎.

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Ajda Fošner. Wu Jing. "Lie centralizers on triangular rings and nest algebras." Adv. Oper. Theory 4 (2) 342 - 350, Spring 2019. https://doi.org/10.15352/aot.1804-1341

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Received: 2 April 2018; Accepted: 25 July 2018; Published: Spring 2019

First available in Project Euclid: 20 September 2018

zbMATH: 1403.16038

MathSciNet: MR3895007

Digital Object Identifier: 10.15352/aot.1804-1341

Subjects:

Primary: 16W25

Secondary: 47B47 , 47L35

Keywords: ‎centralizer‎ , Lie centralizer‎ , ‎nest algebra , ‎triangular ring‎

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