References
- Akemann C, Pedersen G, Tomiyama J. Multipliers of C∗-algebras. J Funct Anal. 1973;13:277–301. doi: 10.1016/0022-1236(73)90036-0
- Ara P, Mathieu M. Local multipliers of
-algebras. London: Springer-Verlag; 2003.
- Li P, Han D, Tang W. Centralizers and Jordan derivations for CSL subalgebras of von Neumann algebras. J Oper Theory. 2013;69:117–133. doi: 10.7900/jot.2010jul19.1870
- Zalar B. On centralizers of semiprime rings. Comment Math Univ Carol. 1991;32:609–614.
- Kosi-Ulbl I, Vukman J. On centralizers of standard operator algebras and semisimple H∗-algebras. Acta Math Hungar. 2006;110:217–223. doi: 10.1007/s10474-006-0017-9
- Vukman J. Centralizers of semiprime rings. Comment Math Univ Carol. 2001;42:237–245.
- Vukman J. Identities related to derivations and centralizers on standard operator algebras. Taiwan J Math. 2007;11:255–265. doi: 10.11650/twjm/1500404650
- Vukman J, Kosi-Ulbl I. On centralizers of semiprime rings with involution. Studia Sci Math Hungar. 2006;43:61–67.
- Lu F. Multiplicative mappings of operator algebras. Linear Algebra Appl. 2002;347:283–291. doi: 10.1016/S0024-3795(01)00560-2
- Daif M. When is a multiplicative derivation additive? Int J Math Math Sci. 1991;14:615–618. doi: 10.1155/S0161171291000844
- Bai Z, Du S. The structure of nonlinear Lie derivation on von Neumann algebras. Linear Algebra Appl. 2012;436:2701–2708. doi: 10.1016/j.laa.2011.11.009
- Lu F, Liu B. Lie derivable maps on B(X). J Math Anal Appl. 2010;372:369–376. doi: 10.1016/j.jmaa.2010.07.002
- Wang Y, Wang Y. Multiplicative Lie n-derivations of generalized matrix algebras. Linear Algebra Appl. 2013;438:2599–2616. doi: 10.1016/j.laa.2012.10.052
- Yang Z, Zhang J. Nonlinear maps preserving the second mixed Lie triple products on factor von Neumann algebras. Linear Multilinear Algebra. 2020;68:377–390. doi: 10.1080/03081087.2018.1506732
- Aiat hadj D, Ahmed H. Non-additive Lie centralizer of strictly upper triangular matrices. Extracta Math. 2019;34:77–83.
- Fosner A, Jing W. Lie centralizers on triangular rings and nest algebras. Adv Oper Theory. 2019;4:342–350. doi: 10.15352/aot.1804-1341
- Sands A. Radicals and Morita contexts. J Algebra. 1973;24:335–345. doi: 10.1016/0021-8693(73)90143-9
- Cheung WS. Commuting maps of triangular algebras. J Lond Math Soc. 2001;63:117–127. doi: 10.1112/S0024610700001642
- Cheung WS. Lie derivations of triangular algebras. Linear Multilinear Algebra. 2003;51:299–310. doi: 10.1080/0308108031000096993
- Ji P, Qi W. Charactrizations of Lie derivations of triangular algebras. Linear Algebra Appl. 2011;435:1137–1146. doi: 10.1016/j.laa.2011.02.048
- Xiao Z, Wei F, Fosner A. Centralizing traces and Lie triple isomorphisms on triangular algebras. Linear Multilinear Algebra. 2015;63:1309–1331. doi: 10.1080/03081087.2014.932356
- Xiao Z, Wei F. Commuting mappings of generalized matrix algebras. Linear Algebra Appl. 2010;433:2178–2197. doi: 10.1016/j.laa.2010.08.002