Joint numerical range and its generating hypersurface

DOI10.1016/j.laa.2009.07.034zbMath1185.15021OpenAlexW2021887341MaRDI QIDQ1044596

Mao-Ting Chien, Hiroshi Nakazato

Publication date: 18 December 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.2009.07.034

zbMATH Keywords

singular pointHermitian matrixjoint numerical rangegenerating hypersurfaceKippenhahn's theorem

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Complex surface and hypersurface singularities (32S25)

Related Items (13)

Joint higher rank numerical range of Pauli group ⋮ Reduction of the \(c\)-numerical range to the classical numerical range ⋮ Boundary generating curves of quaternionic numerical ranges ⋮ Pre-images of extreme points of the numerical range, and applications ⋮ Joint numerical range with degenerate boundary generating variety ⋮ Moment of a subspace and joint numerical range ⋮ Maps preserving the joint numerical radius distance of operators ⋮ The Wigner distribution of n arbitrary observables ⋮ Classification of joint numerical ranges of three Hermitian matrices of size three ⋮ Signatures of quantum phase transitions from the boundary of the numerical range ⋮ Operator systems and convex sets with many normal cones ⋮ Two distance preservers of generalized numerical radii ⋮ Kippenhahn's Theorem for Joint Numerical Ranges and Quantum States

Cites Work

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• Sets of matrices with given joint numerical range
• Convexity of the joint numerical range: Topological and differential geometric viewpoints.
• Lacunas for hyperbolic differential operators with constant coefficients.I
• An Extension of the Hausdorff-Toeplitz Theorem on the Numerical Range
• Hermitian Forms and the Fibration of Spheres
• On the Classification of Cubic Surfaces
• On the convex hull of the multiform numerical range
• Convexity of the Joint Numerical Range
• Über den Wertevorrat einer Matrix
• Davis-Wielandt shell and \(q\)-numerical range

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