Inverse continuity on the boundary of the numerical range

DOI10.1080/03081087.2013.825911zbMath1312.15028arXiv1307.5038OpenAlexW2025578297MaRDI QIDQ2929474

Brian Lins, Timothy Leake, Ilya M. Spitkovskij

Publication date: 12 November 2014

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

Full work available at URL: https://arxiv.org/abs/1307.5038

zbMATH Keywords

eigenvalueeigenvectornumerical rangequadratic formfield of valuesweak continuityinverse continuity

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Quadratic and bilinear forms, inner products (15A63)

Related Items (8)

Pre-images of extreme points of the numerical range, and applications ⋮ Maximum-entropy inference and inverse continuity of the numerical range ⋮ Singular points of cyclic weighted shift matrices ⋮ Signatures of quantum phase transitions from the boundary of the numerical range ⋮ Continuity of the maximum-entropy inference: Convex geometry and numerical ranges approach ⋮ Continuous selections of the inverse numerical range map ⋮ Corrections and additions to ‘Inverse continuity on the boundary of the numerical range’ ⋮ Inverse continuity of the numerical range map for Hilbert space operators

Cites Work

• Unnamed Item
• Differential topology of numerical range
• Equality of higher numerical ranges of matrices and a conjecture of Kippenhahn on Hermitian pencils
• Perturbation theory for linear operators.
• The possible shapes of numerical ranges
• Numerical Measure of a Complex Matrix
• On the crossing rule
• The Toeplitz-Hausdorff Theorem Explained
• Über den Wertevorrat einer Matrix

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