Remarks on numerical ranges of operators in spaces with an indefinite metric

DOI10.1090/S0002-9939-98-04242-7zbMath0897.15012OpenAlexW2134768470MaRDI QIDQ4383083

Chi-Kwong Li, Leiba Rodman

Publication date: 24 March 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04242-7

zbMATH Keywords

numerical rangeKrein spaceindefinite inner product spacesindefinite scalar productangle points of the numerical range

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12)

Related Items (19)

H-joint numerical ranges ⋮ On Generalized Numerical Ranges of Operators on an Indefinite Inner Product Space ⋮ Numerical radius inequalities for indefinite inner product space operators ⋮ The numerical range of non-negative operators in Krein spaces ⋮ Computing the S-numerical ranges of differential operators ⋮ Quaternionic Davis-Wielandt shell in a right quaternionic Hilbert space ⋮ Ratio numerical ranges of operators ⋮ Flat portions on the boundary of the indefinite numerical range of \(3\times 3\) matrices ⋮ Research problem: indefinite inner product normal matrices ⋮ Computing the numerical range of Krein space operators ⋮ An inverse indefinite numerical range problem ⋮ On the geometry of numerical ranges in spaces with an indefinite inner product ⋮ The boundary of the Krein space tracial numerical range, an algebraic approach and a numerical algorithm ⋮ Classes of normal matrices in indefinite inner products ⋮ Indefinite higher-rank numerical ranges ⋮ On the Courant--Fischer theory for Krein spaces ⋮ Numerical ranges of Toeplitz operators with matrix symbols ⋮ The numerical range of banded 2-Toeplitz operators in spaces with an indefinite metric ⋮ Numerical range of linear pencils

Cites Work

• Unnamed Item
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• Matrices and indefinite scalar products
• Numerical range of linear operators in spaces with indefinite metric
• On a minimax equality for seminorms
• Joint ranges of Hermitian matrices and simultaneous diagonalization
• An Extension of the Hausdorff-Toeplitz Theorem on the Numerical Range
• Numerical ranges of an operator on an indefinite inner product space
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space

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