Matrices with Circular Symmetry on their Unitary Orbits and C-Numerical Ranges

DOI10.2307/2047854zbMath0719.15017OpenAlexW4246381331MaRDI QIDQ5751013

Nam-Kiu Tsing, Chi-Kwong Li

Publication date: 1991

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

Full work available at URL: https://doi.org/10.2307/2047854

zbMATH Keywords

characterizationsHilbert spacesnumerical rangesunitary orbitscircular symmetryblock-shift operators

Mathematics Subject Classification ID

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

Related Items (18)

Lie algebra representations, nilpotent matrices, and the \(C\)-numerical range ⋮ Circularity of the numerical range ⋮ The numerical range of a nilpotent operator on a Hilbert space ⋮ Factorization of Singular Matrix Polynomials and Matrices with Circular Higher Rank Numerical Ranges ⋮ Weighted shift matrices: unitary equivalence, reducibility and numerical ranges ⋮ Numerical ranges of cyclic shift matrices ⋮ Numerical Ranges of Operators and Matrices ⋮ Partial isospectrality of a matrix pencil and circularity of the \(c\)-numerical range ⋮ New pairs of matrices with convex generalized numerical ranges ⋮ Numerical ranges of cube roots of the identity ⋮ The generalized numerical range of a set of matrices ⋮ Lie Theory for Quantum Control ⋮ On matrices whose numerical ranges have circular or weak circular symmetry ⋮ Isospectrality and matrices with concentric circular higher rank numerical ranges ⋮ Symmetric numerical ranges of four-by-four matrices ⋮ Linear maps preserving numerical radius of tensor products of matrices ⋮ On star-centers of some generalized numerical ranges and diagonals of normal matrices ⋮ Numerical range of a doubly stochastic matrix

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