Continuous maps preserving Jordan triple products from \(\mathbb{U}_n\) to \(\mathbb{D}_m\)

DOI10.1016/j.indag.2018.09.004zbMath1404.15014OpenAlexW2892736700MaRDI QIDQ1629133

Sadegh Salehi, Ali Taghavi

Publication date: 11 December 2018

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

Full work available at URL: https://doi.org/10.1016/j.indag.2018.09.004

zbMATH Keywords

unitary groupdiagonal unitary groupJordan triple product map

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (2)

Bijections on the Unit Ball of $B(H)$ Preserving $^{\ast}$-Jordan Triple Product ⋮ Continuous maps preserving Jordan triple products from 𝔾𝕃₁to 𝔾𝕃₂and 𝔾𝕃₃

Cites Work

• 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
• Multiplicative Jordan triple isomorphisms on the self-adjoint elements of von Neumann algebras
• Jordan triple maps.
• Continuous maps preserving Jordan triple products from \(\mathbb{GL}_n(\mathbb{C})\) into \(\mathbb{C}^\ast\)
• 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
• Jordan triple endomorphisms and isometries of unitary groups
• On isomorphisms of standard operator algebras
• A Proof of the Mazur-Ulam Theorem
• Maps preserving Jordan triple product on the self-adjoint elements of C∗-algebras
• Non-linear Jordan triple automorphisms of sets of self-adjoint matrices and operators
• Products of Hermitian Matrices and Symmetries

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