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

DOI10.1016/j.laa.2005.05.011zbMath1081.15014OpenAlexW2073866952MaRDI QIDQ2568398

Natália Bebiano, Hiroshi Nakazato, João da Providência

Publication date: 10 October 2005

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

Full work available at URL: https://doi.org/10.1016/j.laa.2005.05.011

zbMATH Keywords

numerical rangeconvexityKrein spacedoubly stochastic matrixboundaryindefinite inner product space\((J,C)\)-tracial range\(J\)-orthostochastic matrix

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Stochastic matrices (15B51)

Related Items (4)

An extension of Birkhoff's theorem with an application to determinants ⋮ Product of diagonal entries of the unitary orbit of a 3-by-3 normal matrix ⋮ On the eigenvalues of principal submatrices of \(J\)-normal matrices ⋮ On the Courant--Fischer theory for Krein spaces

Cites Work

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• \(3\times 3\) orthostochastic matrices and the convexity of generalized numerical ranges
• On the Courant--Fischer theory for Krein spaces
• Numerical range of linear pencils
• On the geometry of numerical ranges in spaces with an indefinite inner product
• Set of \(3\times 3\) orthostochastic matrices
• Inequalities for \(J\)-Hermitian matrices
• Nondifferentiabie points of ∂W_c(A)
• Shapes and computer generation of numerical ranges of Krein space operators
• On Generalized Numerical Ranges of Operators on an Indefinite Inner Product Space
• Numerical ranges of an operator on an indefinite inner product space

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