The nonlinear mixed bi-skew lie triple derivations on *-algebras-Reference-Cited by-同舟云学术

The nonlinear mixed bi-skew lie triple derivations on *-algebras

Published:2023 Issue:29 Volume:37 Page:9981-9989
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Wang Jingxuan¹,Li Changjing¹,Liang Yueliang²,Chen Lin³

Affiliation:

1. School of Mathematics and Statistics, Shandong Normal University, Jinan, P.R. China

2. School of Mathematics, North University of China, Taiyuan, P.R. China

3. Department of Mathematics and Statistics, Changshu Institute of Technology, Changshu, P.R. China

Abstract

Let A be a unital *-algebra. In this paper, under some mild conditions on A, it is shown that a map ? : A ? Ais a nonlinear mixed bi-skew Lie triple derivation if and only if ? is an additive*-derivation. As applications, nonlinear mixed bi-skew Lie triple derivations on prime *-algebras, von Neumann algebras with no central summands of type I1, factor von Neumann algebras and standard operator algebras are characterized.

Publisher

National Library of Serbia

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