On star-centers of some generalized numerical ranges and diagonals of normal matrices

DOI10.1016/S0024-3795(01)00337-8zbMath1005.15018MaRDI QIDQ5954127

Gilbert Cheung, Nam-Kiu Tsing

Publication date: 5 February 2003

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

zbMATH Keywords

normal matrixC-numerical rangegeneralized numerical rangestar-centerunitary orbit

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57)

Cites Work

• \(3\times 3\) orthostochastic matrices and the convexity of generalized numerical ranges
• Conditions for the generalized numerical range to be real
• Elementary inclusion relations for generalized numerical ranges
• A remark on a conjecture of Marcus on the generalized numerical range
• TheC-numerical range of matrices is star-shaped
• Proofs of Two Theorems on Doubly-Stochastic Matrices
• A conjecture of marcus on the generalized numerical range
• TheC-convex matrices
• Another proof of a result of Westwick
• On the shape of the generalized numerical ranges
• A theorem on numerical range
• A remark on the generalized numerical range of a normal matrix
• C-numerical ranges andC-numerical radii
• Kostant's convexity theorem and the compact classical groups
• Numerical Ranges Arising from Simple Lie Algebras
• Matrices with Circular Symmetry on their Unitary Orbits and C-Numerical Ranges
• Doubly Stochastic Matrices and the Diagonal of a Rotation Matrix

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