The characterization of generalized Jordan centralizers on algebras

In this paper, it is shown that if $\mathcal {A}$ is a CSL subalgebra of a von Neumann algebr and $\phi$ is a continuous mapping on $\mathcal {A}$ such that $(m+n+k+l)\phi(A^{2})-(m\phi(A)A+nA\phi(A)+k\phi(I)A^2+l A^2 \phi(I))\in \mathbb{F}I $ for any $A\in \mathcal {A}$, where $\mathbb{F}$ is the...

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Bibliographic Details
Main Authors: Quanyuan Chen, Xiaochun Fang, Changjing Li
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2017-10-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/30008