Numerical range of a normal compression. II

DOI10.1016/j.laa.2004.04.013zbMath1067.15026OpenAlexW2020387311MaRDI QIDQ1886529

Hwa-Long Gau, Pei Yuan Wu

Publication date: 18 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.04.013

zbMATH Keywords

numerical rangecyclic matrixirreducible matrixnormal compression

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Dilations, extensions, compressions of linear operators (47A20)

Related Items (6)

Poncelet's theorem, Sendov's conjecture, and Blaschke products ⋮ Poncelet's theorem, paraorthogonal polynomials and the numerical range of compressed multiplication operators ⋮ On numerical ranges of the compressions of normal matrices ⋮ Continuity of submatrices and Ritz sets associated to a point in the numerical range ⋮ Four Theorems with Their Foci on Ellipses ⋮ Location of Ritz values in the numerical range of normal matrices

Cites Work

• Unnamed Item
• Numerical range and Poncelet property.
• Numerical ranges and Poncelet curves
• Numerical range circumscribed by two polygons
• UB-matrices and conditions for Poncelet polygon to be closed
• The numerical range of an operator
• Polygons and Numerical Ranges
• Numerical Ranges of Operators of Class C₀
• Numerical range ofs(φ)
• Lucas' theorem refined^∗
• Ellipses and Finite Blaschke Products
• Numerical Range of a Normal Compression
• Dilation to inflations of s(φ)
• Numerical ranges, Poncelet curves, invariant measures
• On compressions of normal matrices

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