Jordan triple product homomorphisms on Hermitian matrices to and from dimension one

DOI10.1080/03081087.2015.1112345zbMath1356.16033arXiv1506.07819OpenAlexW1914811111MaRDI QIDQ5741236

Blaž Mojškerc, Damjana Kokol Bukovšek

Publication date: 22 July 2016

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.07819

zbMATH Keywords

matrix algebrahomomorphismHermitian matrixJordan triple product

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Hermitian, skew-Hermitian, and related matrices (15B57) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (2)

Recent progress on local spectrum-preserving maps ⋮ Continuous maps preserving Jordan triple products from 𝔾𝕃₁to 𝔾𝕃₂and 𝔾𝕃₃

Cites Work

• Jordan mappings of semiprime rings
• Maps on matrix spaces
• Jordan triple product homomorphisms.
• Maps from \(M_2(\mathbb F)\) to \(M_3(\mathbb F)\) that are multiplicative with respect to the Jordan triple product
• Multiplicative maps of matrix semi-groups
• Jordan triple product homomorphisms on Hermitian matrices of dimension two

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