References
- Bai , ZF , Hou , JC and Du , SP . 2010 . Additive maps preserving rank-one operators on nest algebras . Linear Multilinear Algebra , 58 : 269 – 283 .
- Benkovič , D . 2005 . Jordan homomorphisms on triangular matrices . Linear Multilinear Algebra , 53 : 345 – 356 .
- Benkovič , D . 2009 . Biderivations of triangular algebras . Linear Algebra Appl. , 431 : 1587 – 1602 .
- Benkovič , D and Eremita , D . 2004 . Commuting traces and commutativity preserving maps on triangular algebras . J. Algebra , 280 : 797 – 824 .
- Brešar , M . 1988 . Jordan derivations on semiprime rings . Proc. Am. Math. Soc. , 104 : 1003 – 1006 .
- Brešar , M . 1989 . Jordan mappings of semiprime rings . J. Algebra , 127 : 218 – 228 .
- Cheung , WS . 2001 . Commuting maps of triangular algebras . J. Lond. Math. Soc. , 63 : 117 – 127 .
- Cheung , WS . 2003 . Lie Derivations of triangular Algebras . Linear Multilinear Algebra , 51 : 299 – 310 .
- Du , YQ and Wang , Y . k-Commuting maps on triangular algebras . Linear Algebra Appl. , Published online 8 September, 2011. DOI:10.1016/j.laa.2011.08.024
- Hakeda , J . 1986 . Additivity of Jordan *-maps on AW*-algebras . Proc. Am. Math. Soc. , 96 : 413 – 420 .
- Herstein , IN . 1956 . Jordan homomorphisms . Trans. Am. Math. Soc. , 81 : 331 – 351 .
- Li , YB and Benkovič , D . 2011 . Jordan generalized derivations on triangular algebras . Linear Multilinear Algebra, , 59 : 841 – 849 .
- Li , CK , Šemrl , P and Soares , G . 2001 . Linear operators preserving the numerical range (radius) on triangular matrices . Linear Multilinear Algebra , 48 : 281 – 292 .
- Ling , Z and Lu , F . 2004 . Jordan maps of nest algebras . Linear Algebra Appl. , 387 : 361 – 368 .
- Lu , F . 2002 . Additivity of Jordan maps on standard operator algebras . Linear Algebra Appl. , 357 : 123 – 131 .
- Lu , F . 2003 . Jordan maps on associative algebras . Commun. Algebra , 31 : 2273 – 2286 .
- Ma , F and Ji , GX . 2007 . Generalized Jordan derivations on triangular matrix algebras . Linear Multilinear Algebra , 55 : 355 – 363 .
- Martindale III , WS . 1969 . When are multiplicative mappings additive? . Proc. Am. Math. Soc. , 21 : 695 – 698 .
- Molnǎr , L and Šemrl , P . 1998 . Some linear preserver problems on upper triangular matrices . Linear Multilinear Algebra , 45 : 189 – 206 .
- Peisheng , J . 2007 . Jordan maps on triangular algebras . Linear Algebra Appl. , 426 : 190 – 198 .
- Peisheng , J . 2009 . Additivity of Jordan maps on Jordan algebras . Linear Algebra Appl. , 431 : 179 – 188 .
- Qi , XF and Hu , JC . 2011 . Additivity of Lie multiplicative maps on triangular algebras . Linear Multilinear Algebra , 59 : 391 – 397 .
- Wang , Y . 2009 . The Additivity of multiplicative maps on rings . Commun. Algebra , 37 : 2351 – 2356 .
- Wang , Y . 2011 . Additivity of multiplicative maps on triangular rings . Linear Algebra Appl. , 434 : 625 – 635 .
- Zhang , JH and Yu , WY . 2006 . Jordan derivations of triangular algebras . Linear Algebra Appl. , 419 : 251 – 255 .