Annals of Functional Analysis

Local Lie derivations on certain operator algebras

Dan Liu and Jianhua Zhang

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Abstract

In this paper, we investigate local Lie derivations of a certain class of operator algebras and show that, under certain conditions, every local Lie derivation of such an algebra is a Lie derivation.

Article information

Source
Ann. Funct. Anal., Volume 8, Number 2 (2017), 270-280.

Dates
Received: 22 May 2016
Accepted: 19 September 2016
First available in Project Euclid: 1 March 2017

Permanent link to this document
https://projecteuclid.org/euclid.afa/1488358822

Digital Object Identifier
doi:10.1215/20088752-0000012X

Mathematical Reviews number (MathSciNet)
MR3619322

Zentralblatt MATH identifier
1373.47035

Subjects
Primary: 47L35: Nest algebras, CSL algebras
Secondary: 17B40: Automorphisms, derivations, other operators

Keywords
derivation Lie derivation local Lie derivation

Citation

Liu, Dan; Zhang, Jianhua. Local Lie derivations on certain operator algebras. Ann. Funct. Anal. 8 (2017), no. 2, 270--280. doi:10.1215/20088752-0000012X. https://projecteuclid.org/euclid.afa/1488358822


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