A range associated with skew symmetric matrix

DOI10.1080/03081087.2010.521749zbMath1236.15050OpenAlexW1999143734MaRDI QIDQ3104547

Dawit G. Tadesse, Xuhua Liu, Tin-Yau Tam

Publication date: 14 December 2011

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

Full work available at URL: https://doi.org/10.1080/03081087.2010.521749

zbMATH Keywords

extreme pointnumerical rangeskew symmetric matrix\(q\)-numerical rangecomplex skew symmetric matrixpower inequalityToeplitz-Hausdorff theoremsharp point

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45)

Cites Work

• The constrained bilinear form and the C-numerical range
• An elementary proof of the power inequality for the numerical radius
• Extreme points of the numerical range of a hyponormal operator
• Some convexity theorems for the generalized numerical ranges
• The Toeplitz-Hausdorff Theorem and Ellipticity Conditions
• An extension of a convexity theorem of the generalized numerical range associated with $SO(2n+1)$
• Numerical Ranges Arising from Simple Lie Algebras
• Convexity of generalized numerical range associated with a compact Lie group
• A simple proof of the elliptical range theorem
• Naive Lie Theory
• The Toeplitz-Hausdorff Theorem Explained