Continuous maps preserving Jordan triple products from \(\mathbb{GL}_n(\mathbb{C})\) into \(\mathbb{C}^\ast\)

DOI10.1016/j.indag.2017.09.006zbMath1377.15009OpenAlexW2756647277MaRDI QIDQ1678010

Sadegh Salehi, Ali Taghavi

Publication date: 14 November 2017

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2017.09.006

zbMATH Keywords

general linear groupJordan triple product mapdiagonal general linear group

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items (4)

Continuous maps preserving Jordan triple products from \(\mathbb{U}_n\) to \(\mathbb{D}_m\) ⋮ Maps preserving triple product on rings ⋮ Continuous maps preserving Jordan triple products from 𝔾𝕃₁to 𝔾𝕃₂and 𝔾𝕃₃ ⋮ Maps preserving quadratic product between positive cones of JBW-algebras

Cites Work

• Unnamed Item
• Maps preserving the fixed points of triple Jordan products of operators
• Isometries of the special orthogonal group
• Transformations of the unitary group on a Hilbert space
• Products of involutions
• Jordan triple maps.
• Isometries and maps compatible with inverted Jordan triple products on groups
• Isometries of the unitary groups and Thompson isometries of the spaces of invertible positive elements in \(C^\ast\)-algebras
• A Proof of the Mazur-Ulam Theorem
• Maps preserving Jordan triple product on the self-adjoint elements of C∗-algebras

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