Orthomaps on formally real simple Jordan algebras

DOI10.7153/oam-2019-13-33zbMath1429.17031OpenAlexW2958903333MaRDI QIDQ5243801

Bojan Kuzma, Nik Stopar, Gregor Dolinar

Publication date: 19 November 2019

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-2019-13-33

zbMATH Keywords

formally real Jordan algebraJordan mapsgeneral preserves of zeros of Jordan product

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Simple, semisimple Jordan algebras (17C20)

Cites Work

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• Graphs defined by orthogonality.
• A taste of Jordan algebras
• An elementary proof of the fundamental theorem of projective geometry
• Characterization of orthomaps on the Cayley plane
• Matrices of quaternions
• Maps preserving matrix pairs with zero Jordan product

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