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.
Lie Derivations on Nest Subalgebras of von Neumann Algebras Jian Hua ZHANG Author information + History + Abstract In this paper, we characterize the linear map L : algM β→ M which satisfies the property that L(AB - BA) = L(A)B - BL(A) + AL(B) - L(B)A for all A,B...
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...
摘要: Let M be a von Neumann algebra with no central summands of type Ⅰ_1. It is shown that every nonlinear ξ-Lie derivation {ξ≠1) on M is an additive derivation.关键词: ξ-Lie derivation derivation von Neumann algebra DOI: 10.48550/arXiv.1302.3927 年份: 2013 ...
Mathieu M and Villena A R, The structure of Lie derivations on C*-algebras, J. Funct. Anal. 202 (2003) 504–525 Article MathSciNet MATH Google Scholar Miers C R, Lie triple derivations of von Neumann algebras, Proc. Amer. Math. Soc. 71 (1978) 57–61 Article MathSciNet MATH Goog...
H. Zhang, Nonlinear Lie derivations on factor von Neumann algebras, Acta Mathematica Sinica. (Chin. Ser) 54 (2011), no. 5, 791-802. (Fangjuan Zhang) School of Science, Xi'an University of Posts and Telecommu-F. Zhang and J. Zhang, Nonlinear Lie derivations on factor von Neumann ...
Maps preserving products XY − Y X∗ on von Neumann algebras. J Math Anal Appl, 2012, 386: 103–109 9 Dai L, Lu F Y. Nonlinear maps preserving Jordan *-products. J Math Anal Appl, 2014, 409: 180–188 10 Cui J L, Hou J C. Maps leaving functional values of operator products...
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 is of the form d + h, where d:M -> M is a linear derivation and h ...
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 a...
P. Ji, W. Qi, X. Sun, Characterizations of Lie derivations of factor von Neumann algebras, Linear Multilinear Algebra 61 (2013), 417-428.Characterizations of Lie derivations of factor von Neumann algebras[J] . Peisheng Ji,Weiqing Qi,Xiaolu Sun.Linear and Multilinear Algebra . 2013 (3)...