New pairs of matrices with convex generalized numerical ranges

DOI10.1080/03081087.2016.1255173zbMath1387.15020arXiv1612.05058OpenAlexW3094717103MaRDI QIDQ4603670

Wai-Shun Cheung

Publication date: 19 February 2018

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

Full work available at URL: https://arxiv.org/abs/1612.05058

zbMATH Keywords

convex setnumerical rangeselliptical range theorem\(C\)-numerical ranges

Mathematics Subject Classification ID

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

Cites Work

• The constrained bilinear form and the C-numerical range
• Elementary inclusion relations for generalized numerical ranges
• TheC-numerical range of matrices is star-shaped
• A conjecture of marcus on the generalized numerical range
• Another proof of a result of Westwick
• On the shape of the generalized numerical ranges
• A theorem on numerical range
• C-numerical ranges andC-numerical radii
• On the Field of Values of a Square Matrix
• Matrices with Circular Symmetry on their Unitary Orbits and C-Numerical Ranges
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