On the Courant--Fischer theory for Krein spaces

DOI10.1016/j.laa.2008.10.013zbMath1168.47004OpenAlexW2167779970MaRDI QIDQ1006036

Hiroshi Nakazato, Natália Bebiano, João da Providência

Publication date: 17 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.10.013

zbMATH Keywords

\(J\)-Hermitian matrixKreĭn spaceRayleigh ratioCourant-Fischer theory

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Numerical range, numerical radius (47A12) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20)

Related Items (1)

\(J\)-orthostochastic matrices of size \(3 \times 3\) and numerical ranges of Krein space operators

Cites Work

• Unnamed Item
• The \(J\)-numerical range of a \(J\)-Hermitian matrix and related inequalities
• Löwner inequality of indefinite type
• Inequalities for \(J\)-Hermitian matrices
• \(J\)-orthostochastic matrices of size \(3 \times 3\) and numerical ranges of Krein space operators
• Zur Abschätzung von Matrizennormen
• Matrix Analysis
• An inequality for the trace of the product of two symmetric matrices
• Remarks on numerical ranges of operators in spaces with an indefinite metric
• Shapes and computer generation of numerical ranges of Krein space operators
• Numerical ranges of an operator on an indefinite inner product space
• The Numerical Range of 2-Dimensional Krein Space Operators
• On the Trace of Matrix Products
• Inequalities: theory of majorization and its applications

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