Numerical ranges of nilpotent operators

DOI10.1016/j.laa.2008.03.029zbMath1139.47008OpenAlexW2076153462MaRDI QIDQ932143

Pei Yuan Wu, Hwa-Long Gau

Publication date: 10 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.03.029

zbMATH Keywords

numerical rangenumerical radiusnilpotent operator

Mathematics Subject Classification ID

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

Related Items

A geometric approach to numerical radius inequalities ⋮ Crawford numbers of powers of a matrix ⋮ Numerical ranges of weighted shift matrices ⋮ Operators with real parts at least ⋮ Non-parallel Flat Portions on the Boundaries of Numerical Ranges of 4-by-4 Nilpotent Matrices ⋮ Noncircular elliptic discs as numerical ranges of nilpotent operators

Cites Work

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• Boundary generating curves of the \(c\)-numerical range
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• The numerical range of a nonnegative matrix
• Companion matrices: Reducibility, numerical ranges and similarity to contractions
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• The Numerical Radius of a Nilpotent Operator on a Hilbert Space
• On a Connection Between the Numerical Range and Spectrum of an Operator on a Hilbert Space
• Flat portions on the boundary of the numerical ranges of certain Toeplitz matrices
• Über den Wertevorrat einer Matrix

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