Spectral sets, extremal functions and exceptional matrices

DOI10.1080/03081087.2020.1836118OpenAlexW3093494943MaRDI QIDQ5049194

Nathan Walsh, Thomas Ransford

Publication date: 11 November 2022

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

Full work available at URL: https://arxiv.org/abs/2011.02845

zbMATH Keywords

spectral setextremal functionvon Neumann inequality

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) Spectrum, resolvent (47A10) Spectral sets of linear operators (47A25) Local spectral properties of linear operators (47A11)

Cites Work

• Numerical range and functional calculus in Hilbert space
• Constants related to operators of class \(C_\rho\)
• Bounds for analytical functions of matrices
• Crouzeix's conjecture and related problems
• Handbook of Linear Algebra
• Mathematical Pearls: The Distinguished Boundary of the Unit Operator Ball
• Some Extensions of the Crouzeix--Palencia Result
• Generalization of von Neumann's spectral sets and integral representation of operators
• The Numerical Range is a $(1+\sqrt{2})$-Spectral Set
• Polynomial bounds for small matrices
• Eine Spektraltheorie für allgemeine Operatoren eines unitären Raumes. Erhard Schmidt zum 75. Geburtstag in Verehrung gewidmet

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