On the boundary of weighted numerical ranges

DOI10.1080/03081087.2015.1043117zbMath1342.15017arXiv1403.3479OpenAlexW3103115260MaRDI QIDQ2789401

Wai-Shun Cheung

Publication date: 29 February 2016

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

Full work available at URL: https://arxiv.org/abs/1403.3479

zbMATH Keywords

numerical rangesBezout's theorem\(c\)-numerical rangesrank \(k\) numerical ranges

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Cites Work

• Unnamed Item
• Elliptical range theorems for generalized numerical ranges of quadratic operators
• The boundary of higher rank numerical ranges
• Numerical ranges as circular discs
• Efficient quantum error correction for fully correlated noise
• Higher-rank numerical ranges and compression problems
• 3 x 3 matrices with a flat portion on the boundary of the numerical range
• Condition for the numerical range to contain an elliptic disc
• Quantum error correcting codes from the compression formalism
• On the boundary of rank-knumerical ranges
• Higher Rank Numerical Ranges of Normal Matrices
• Canonical forms, higher rank numerical ranges, totally isotropic subspaces, and matrix equations
• A theorem on numerical range
• Normality and the Higher Numerical Range
• c-convex matrices: characterizations, inclusion relations and normality
• C-numerical ranges andC-numerical radii
• Elementary proofs for some results on the circular symmetry of the numerical range
• The higher rank numerical range is convex
• Line segments and elliptic arcs on the boundary of a numerical range
• Über den Wertevorrat einer Matrix

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