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April 2016 On Jordan centralizers of triangular algebras
Lei Liu
Banach J. Math. Anal. 10(2): 223-234 (April 2016). DOI: 10.1215/17358787-3492545

Abstract

Let A be a unital algebra over a number field F. A linear mapping ϕ from A into itself is called a Jordan-centralized mapping at a given point GA if ϕ(AB+BA)=ϕ(A)B+ϕ(B)A=Aϕ(B)+Bϕ(A) for all A, BA with AB=G. In this paper, it is proved that each Jordan-centralized mapping at a given point of triangular algebras is a centralizer. These results are then applied to some non-self-adjoint operator algebras.

Citation

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Lei Liu. "On Jordan centralizers of triangular algebras." Banach J. Math. Anal. 10 (2) 223 - 234, April 2016. https://doi.org/10.1215/17358787-3492545

Information

Received: 5 April 2015; Accepted: 26 May 2015; Published: April 2016
First available in Project Euclid: 23 February 2016

zbMATH: 1338.47039
MathSciNet: MR3465811
Digital Object Identifier: 10.1215/17358787-3492545

Subjects:
Primary: 47L35
Secondary: 17B40, 17B60, 47B47

Rights: Copyright © 2016 Tusi Mathematical Research Group

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Vol.10 • No. 2 • April 2016
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