References
- X. Cheng and W. Jing, Additivity of maps on triangular algebras, Electron. J. Linear Algebra 17 (2008), 597-615.
- I. Hakeda, Additivity of Jordan *-maps on AW*-algebras, Proc. Amer. Math. Soc. 96 (1986), no. 3, 413-420.
- J. Hakeda and K. Saito, Additivity of Jordan *-maps between operator algebras, J. Math. Soc. Japan 38 (1986), no. 3, 403-408. https://doi.org/10.2969/jmsj/03830403
- P. Ji, Jordan maps on triangular algebras, Linear Algebra Appl. 426 (2007), no. 1, 190-198. https://doi.org/10.1016/j.laa.2007.04.009
- P. Ji, R. Liu, and Y. Zhao, Nonlinear Lie triple derivations of triangular algebras, Linear Multilinear Algebra 60 (2012), no. 10, 1155-1164. https://doi.org/10.1080/03081087.2011.652109
- W. Jing, Additivity of Jordan elementary maps on rings, arXiv:0706.0488v1 [math.RA] 4 Jun 2007.
- B. Kuzma, Jordan triple product homomorphisms, Monatsh. Math. 149 (2006), no. 2, 119-128. https://doi.org/10.1007/s00605-005-0361-9
- P. Li and W. Jing, Jordan elementary maps on rings, Linear Algebra Appl. 382 (2004), 237-245. https://doi.org/10.1016/j.laa.2003.12.037
- P. Li and F. Lu, Additivity of Jordan elementary maps on nest algebras, Linear Algebra Appl. 400 (2005), 327-338. https://doi.org/10.1016/j.laa.2004.12.003
- Y. Li and Z. Xiao, Additivity of maps on generalized matrix algebras, Electron. J. Linear Algebra 22 (2011), 743-757.
- Z. Ling and F. Lu, Jordan maps of nest algebras, Linear Algebra Appl. 387 (2004), 361-368. https://doi.org/10.1016/j.laa.2004.02.031
- F. Lu, Jordan triple maps, Linear Algebra Appl. 375 (2003), 311-317. https://doi.org/10.1016/j.laa.2003.06.004
- F. Lu, Jordan maps on associative algebras, Comm. Algebra 31 (2003), no. 5, 2273-2286. https://doi.org/10.1081/AGB-120018997
- F. Lu, Multiplicative mappings of operator algebras, Linear Algebra Appl. 347 (2002), 283-291. https://doi.org/10.1016/S0024-3795(01)00560-2
- F. Lu, Additivity of Jordan maps on standard operator algebras, Linear Algebra Appl. 357 (2002), 123-131. https://doi.org/10.1016/S0024-3795(02)00367-1
- A. J. C. Martin and C. M. Gonzalez, The Banach-Lie group of Lie triple automorphisms of an H*-algebras, Acta Math. Sci. Ser. B Engl. Ed. 30 (2010), no. 4, 1219-1226.
- A. J. C. Martin and C. M. Gonzalez, A linear approach to Lie triple automorphisms of H*-algebras, J. Korean Math. Soc. 48 (2011), no. 1, 117-132. https://doi.org/10.4134/JKMS.2011.48.1.117
- W. S. Martindale III, When are multiplicative mappings additive?, Proc. Amer. Math. Soc. 21 (1969), 695-698.
- L. Molnar, On isomorphisms of standard operator algebras, Studia Math. 142 (2000), no. 3, 295-302.
- L. Molnar and P. Semrl, Elementary operators on standard algebras, Linear Multilinear Algebra 50 (2002), no. 4, 315-319. https://doi.org/10.1080/03081080290025499
- P. Semrl, Isomorphisms of standard operator algebras, Proc. Amer. Math. Soc. 123 (1995), no. 6, 1851-1885. https://doi.org/10.1090/S0002-9939-1995-1242104-8
- Z. Xiao and F.Wei, Commuting mappings of generalized matrix algebras, Linear Algebra Appl. 433 (2010), no. 11-12, 2178-2197. https://doi.org/10.1016/j.laa.2010.08.002
- Z. Xiao and F.Wei, Lie triple derivations of triangular algebras, Linear Algebra Appl. 437 (2012), no. 5, 1234-1249. https://doi.org/10.1016/j.laa.2012.04.015
Cited by
- Surjective Jordan maps and Jordan triple maps vol.535, 2017, https://doi.org/10.1016/j.laa.2017.08.022