Complete spectral sets and numerical range

DOI10.1090/proc/13801OpenAlexW2589101395MaRDI QIDQ3130842

Kenneth R. Davidson, Vern I. Paulsen, Hugo J. Woerdeman

Publication date: 29 January 2018

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

Full work available at URL: https://arxiv.org/abs/1612.05683

zbMATH Keywords

numerical rangecomplete spectral setCrouzeix conjecture

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Spectral sets of linear operators (47A25)

Related Items

The Numerical Range is a $(1+\sqrt{2})$-Spectral Set

Cites Work

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• Numerical range and functional calculus in Hilbert space
• Constants related to operators of class \(C_\rho\)
• Bounds for analytical functions of matrices
• Numerical range. The field of values of linear operators and matrices
• Symbolic calculus of operators with unit numerical radius
• Harmonic analysis of operators on Hilbert space
• On mapping theorems for numerical range
• Completely Bounded Homomorphisms of Operator Algebras
• The Numerical Range is a $(1+\sqrt{2})$-Spectral Set
• Mapping Theorems for the Numerical Range