Abstract
We characterize the Jordan triple product preserving maps M2(\({\mathbb{F}}\)) to M3(\({\mathbb{F}}\)) for algebraically closed fields \({\mathbb{F}}\) , char \({\mathbb{F} \neq 2}\).
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Brešar M.: Jordan mappings of semiprime rings. J. Algebra 127, 218–228 (1989)
Dobovišek, M.: Maps from M n (F) to F that are multiplicative with respect to the Jordan triple product. Publ. math. (Debr.), vol. 73, fasc. 1–2, pp. 89–100 (2008)
Guralnick R.M., Li K.-C., Rodman L.: Multiplicative maps on invertible matrices that preserve matricial properties. ELA 10, 291–391 (2003)
Gustafson W.H., Halmos P.R., Radjavi H.: Product of involutions. Linear Algebra Appl. 13, 157–162 (1976)
Jacobson N., Rickart C.E.: Jordan homomorphisms of rings. Trans. Am. Math. Soc. 69, 479–502 (1950)
Kokol-Bukovšek D.: Matrix semigroup homomorphisms from dimension two to three. Linear Algebra Appl. 296, 99–112 (1999)
Kokol-Bukovšek D.: Matrix semigroup homomorphisms into higher dimensions. Linear Algebra Appl. 420, 34–50 (2007)
Kokol Bukovšek D.: More on matrix semigroup homomorphisms. Linear Algebra Appl. 346, 73–95 (2002)
Kuzma B.: Jordan triple product homomorphisms. Monatshefte für Mathematik. 149, 119–128 (2006)
Lešnjak G., Sing Sze Nung.: On injective Jordan semi-triple maps of matrix algebras. Linear Algebra Appl. 414, 383–388 (2006)
Molnar L.: On isomorphisms of standard operator algebras. Stud. Math. 142, 295–302 (2000)
Šemrl P.: Maps on matrix spaces. Linear Algebra Appl. 413, 364–393 (2006)
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Dobovišek, M. Maps from M2(\({\mathbb{F}}\)) to M3(\({\mathbb{F}}\)) that are multiplicative with respect to the Jordan triple product. Aequat. Math. 85, 539–552 (2013). https://doi.org/10.1007/s00010-012-0166-6
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DOI: https://doi.org/10.1007/s00010-012-0166-6