A generalization of the Craig-Sakamoto theorem to Euclidean Jordan algebras

DOI10.1016/j.laa.2015.11.039zbMath1391.15102OpenAlexW2198321606MaRDI QIDQ905710

Guo-Qiang Wang, Jiyuan Tao

Publication date: 28 January 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2015.11.039

zbMATH Keywords

Euclidean Jordan algebraCraig-Sakamoto theoremquadratic representation

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Simple, semisimple Jordan algebras (17C20) Finite-dimensional structures of Jordan algebras (17C55)

Cites Work

• Unnamed Item
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• Some inequalities involving determinants, eigenvalues, and Schur complements in Euclidean Jordan algebras
• Some P-properties for linear transformations on Euclidean Jordan algebras
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• Some inertia theorems in Euclidean Jordan algebras
• Positive principal minor property of linear transformations on Euclidean Jordan algebras
• A determinantal proof of the Craig-Sakamoto theorem
• Second-order cone programming
• A simple proof of the Craig-Sakamoto theorem
• Craig-Sakamoto's theorem for the Wishart distributions on symmetric cones
• A History of the Development of Craig's Theorem
• Automorphism Invariance of P- and GUS-Properties of Linear Transformations on Euclidean Jordan Algebras
• The octonionic eigenvalue problem
• Matrix theory. Basic results and techniques
• Quaternions and matrices of quaternions

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