TRIPLE DERIVATIONSUNITAL ALGEBRASAUTOMORPHISMSISOMORPHISMSLet M be a finite von Neumann algebra with no central summands of type I1. We show that each nonlinear 2-local Lie n-derivation delta:M -> M with n >= 3
Mathematics - Rings and AlgebrasLet $A$ be a von Neumann algebra with no central summands of type $I_1$. We will show that every nonlinear Lie $n$-derivation on $A$ is of the standard form, i.e. it can be expressed as a sum of an additive derivation and a central-valued ...
We show that each local Lie derivation from into itself is a Lie derivation.doi:10.1016/j.laa.2017.01.004Liu, DanZhang, JianhuaLinear Algebra & Its ApplicationsD. Liu, J. Zhang, Local Lie derivations of factor von Neumann algebras, Linear Algebra Appl. 519 (2017) 208-218...
Strong skew commutativity preserving maps on von Neumann algebras 2013, Journal of Mathematical Analysis and Applications Show abstract Nonlinear maps preserving the second mixed Lie triple products on factor von Neumann algebras 2020, Linear and Multilinear Algebra Nonlinear maps preserving mixed lie triple...
3.Von Neumann代数上的广义Jordan可导映射[J].张存侠,西安工程大学学报.2008,第5期 4.Additive maps preserving Jordan zero-products on nest algebras[J].Jiao MY;Hou JC,Linear Algebra & its Applications.2008,第1期 5.Characterizations of Lie derivations of triangular algebras[J].Qi;W....
After three decades of computational multibody system (MBS) dynamics, current research is centered at the development of compact and user-friendly yet comp
We introduce tools for verifying the Jacobi identity, and establish the latter for thePoisson bracket of a single harmonic oscillator and for algebras of derivations in as-sociative algebras. Noncommutative associative algebras give rise to Lie algebras in adifferent way—via commutators. The fact ...
LIE algebrasLet m and n be fixed positive integers. Suppose that A is a von Neumann algebra with no central summands of type I 1 , and L m : A → A is a Lie-type higher derivation. In continuation of the rigorous and versatile framework for investigating the structure and properties ...
LIE TRIPLE DERIVATIONS ON NEST SUBALGEBRAS OF VON NEUMANN ALGEBRASAili Yang
doi:10.1007/s11401-018-0098-0Lei LiuSpringer Berlin Heidelberg数学年刊B辑(英文版)C.R. Miers, Lie triple derivations of von Neumann algebras, Proc. Amer. Math. Soc. 71 (1978) 57-61.