On the generalized numerical range with principal character

DOI10.1080/03081089108818092zbMath0733.15012OpenAlexW2054866265WikidataQ126248574 ScholiaQ126248574MaRDI QIDQ3360324

Tin-Yau Tam, Shu-An Hu

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1080/03081089108818092

zbMATH Keywords

subgroupgeneralized numerical rangegeneralized matrix functionprincipal character

Mathematics Subject Classification ID

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

Related Items

Chapter 6: linear preservers on numerical ranges, numerical radii and unitary similarity invariant norms, On the Hu-Hurley-Tam conjecture concerning the generalized numerical range, Decomposable numerical ranges on orthonormal tensors, Linear operators preserving decomposable numerical radii on orthonormal tensors, \(a\)-numerical range on \(C^{\ast}\)-algebras, Antidiagonals of matrices in a unitary similarity orbit

Cites Work

• Conditions for the generalized numerical range to be real
• Positive operators and an inertia theorem
• On marcus-wang's numerical range
• On the Marcus-Wang conjecture
• On the numerical range of an induced power
• Some more on a conjecture of marcus and wang
• Some variations on the numerical range^†
• On the Field of Values of a Square Matrix
• Inequalities: theory of majorization and its applications