Canonical forms, higher rank numerical ranges, totally isotropic subspaces, and matrix equations

DOI10.1090/S0002-9939-08-09536-1zbMath1152.15027arXiv0706.1536MaRDI QIDQ3522296

Nung-Sing Sze, Chi-Kwong Li

Publication date: 1 September 2008

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

Full work available at URL: https://arxiv.org/abs/0706.1536

zbMATH Keywords

numerical rangeconvexitymatrix equationcanonical formtotally isotropic subspaceisotropic subspace

Mathematics Subject Classification ID

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Cites Work

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• Higher-rank numerical ranges and compression problems
• Higher rank numerical ranges and low rank perturbations of quantum channels
• Canonical forms for complex matrix congruence and \(^{*}\)-congruence
• Quantum error correcting codes from the compression formalism
• Imbedding Conditions for Hermitian and Normal Matrices
• A simple proof of the elliptical range theorem
• Higher-rank numerical ranges of unitary and normal matrices
• Geometry of higher-rank numerical ranges
• The higher rank numerical range is convex

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