References
- Väisälä J. A proof of the Mazur-Ulam theorem. Amer Math Monthly. 2003;110:633–635. doi: 10.1080/00029890.2003.11920004
- Hatori O, Hirasawa G, Miura T, et al. Isometries and maps compatible with inverted Jordan triple products on groups. Tokyo J Math. 2012;35:385–410. doi: 10.3836/tjm/1358951327
- Abe T, Akiyama S, Hatori O. Isometries of the special orthogonal group. Linear Algebra Appl. 2013;439:174–188. doi: 10.1016/j.laa.2013.03.008
- Bukovšek DK, Mojškerc B. Jordan triple product homomorphisms on Hermitian matrices to and from dimension one. Linear Multilinear Algebra. 2016;64(8):1669–1678. doi: 10.1080/03081087.2015.1112345
- Dobovišek M. Maps from M2(F) to M3(F) that are multiplicative with respect to the Jordan triple product. Aequat Math. 2013;85:539–552. doi: 10.1007/s00010-012-0166-6
- Gselmann E. Jordan triple mappings on positive definite matrices. Aequat Math. 2015;89:629–639. doi: 10.1007/s00010-013-0251-5
- Kuzma B. Jordan triple product homomorphisms. Monatsh Math. 2006;149:119–128. doi: 10.1007/s00605-005-0361-9
- Lešnjak G, Sze NS. On injective Jordan semi-triple maps of matrix algebras. Linear Algebra Appl. 2006;414:383–388. doi: 10.1016/j.laa.2005.10.015
- Lu F. Jordan triple maps. Linear Algebra Appl. 2003;375:311–317. doi: 10.1016/j.laa.2003.06.004
- Molnár L. On isomorphisms of standard operator algebras. Studia Math. 2000;142:295–302. doi: 10.4064/sm-142-3-295-302
- Taghavi A, Hosseinzadeh R, Darvish V. Maps preserving the fixed points of triple Jordan products of operators. Indag Math. 2016;27(3):850–854. doi: 10.1016/j.indag.2016.03.003
- Taghavi A. Maps preserving Jordan triple product on the self-adjoint elements of C∗-algebras. Asian-Eur J Math. 2017;10(2):1750022. doi: 10.1142/S179355711750022X
- Taghavi A, Salehi S. Continuous maps preserving Jordan triple products from GLn(C) into C∗. Indag Math. 2017;28:1233–1239. doi: 10.1016/j.indag.2017.09.006
- Taghavi A, Salehi S. Continuous maps preserving Jordan triple products from Un to Dm. Indag Math. 2019;30(1):157–164.
- Hatori O, Molnár L. Isometries of the unitary group. Proc Amer Math Soc. 2012;140:2127–2140. doi: 10.1090/S0002-9939-2011-11216-4
- Molnár L, Šemrl P. Transformations of the unitary group on a Hilbert space. J Math Anal Appl. 2012;388:1205–1217. doi: 10.1016/j.jmaa.2011.11.007
- Molnár L. Jordan triple endomorphisms and isometries of unitary groups. Linear Algebra Appl. 2013;439:3518–3531. doi: 10.1016/j.laa.2013.09.013
- Omladič M, Radjavi H, Šemrl P. Homomorphisms from C∗ into GLn(C). Publ Math Debrecen. 1999;55:479–486.
- Bhatia R. Matrix analysis. New York: Springer-Verlag; 1997.
- Aczél J, Dhombres J. Functional equations in several variables. Cambridge: Cambridge Univ. Press; 1989. (Encyclopedia math. appl.; 31)