A note on the Ostrowski-Schneider type inertia theorem in Euclidean Jordan algebras

DOI10.1016/j.laa.2010.11.048zbMath1264.17022OpenAlexW2066030574MaRDI QIDQ630544

Jiyuan Tao

Publication date: 17 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.11.048

zbMATH Keywords

Euclidean Jordan algebrasCauchy matrixOstrowski-Schneider theorem

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Simple, semisimple Jordan algebras (17C20) Finite-dimensional structures of Jordan algebras (17C55)

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On perturbation bounds of eigenvalues in Euclidean Jordan Algebras

Cites Work

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• Some P-properties for linear transformations on Euclidean Jordan algebras
• Z-transformations on proper and symmetric cones
• Some inertia theorems in Euclidean Jordan algebras
• Some theorems on the inertia of general matrices
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• Positive definite matrices
• On the Ostrowski-Schneider inertia theorem
• The Cauchy interlacing theorem in simple Euclidean Jordan algebras and some consequences
• A Generalization of a Theorem of Lyapunov
• Automorphism Invariance of P- and GUS-Properties of Linear Transformations on Euclidean Jordan Algebras