Title of article
The Second Nonlinear Mixed Lie Triple Derivations on Finite Von Neumann Algebras
Author/Authors
Zhao ، Xingpeng School of mathematical sciences - Tongji University , Fang ، Xiaochun School of mathematical sciences - Tongji University
From page
237
To page
254
Abstract
Let M be a finite von Neumann algebra with no central summands of type I1. Suppose that L : M → Mis the second nonlinear mixed Lie triple derivation. Then L is an additive ∗-derivation. We also show that each local and 2-local second Lie triple derivation on finite von Neumann algebras with no central summands of type I1 is a ∗-derivation. Besides, each local and 2-local second Lie triple derivation on factor von Neumann algebras M with dim M 1 is also a ∗-derivation.
Keywords
The second mixed Lie triple derivation , Local and 2 , local , Von Neumann algebra
Journal title
Bulletin of the Iranian Mathematical Society
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2744019
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