TheC-numerical range of matrices is star-shaped

DOI10.1080/03081089608818479zbMath0876.15021OpenAlexW2007673712MaRDI QIDQ3124146

Wai-Shun Cheung, Nam-Kiu Tsing

Publication date: 23 November 1997

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

Full work available at URL: https://doi.org/10.1080/03081089608818479

zbMATH Keywords

complex matricesstar-shapedunitary orbit\(C\)-numerical range

Mathematics Subject Classification ID

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

Related Items (20)

Convexity of the orbit-closed C-numerical range and majorization ⋮ Convexity and star-shapedness of real linear images of special orthogonal orbits ⋮ Multiplicative Preservers of C-Numerical Ranges and Radii ⋮ Essential numerical range and $C$-numerical range for unbounded operators ⋮ On the determinantal range of matrix products ⋮ Pfaffian and decomposable numerical range of a complex skew symmetric matrix ⋮ Numerical Ranges of Operators and Matrices ⋮ The star-center of the quaternionic numerical range ⋮ On generalized numerical range of the Aluthge transformation. ⋮ New pairs of matrices with convex generalized numerical ranges ⋮ The generalized numerical range of a set of matrices ⋮ Lie Theory for Quantum Control ⋮ Product of diagonal entries of the unitary orbit of a 3-by-3 normal matrix ⋮ On the \(C\)-determinantal range for special classes of matrices ⋮ Symmetric numerical ranges of four-by-four matrices ⋮ On star-centers of some generalized numerical ranges and diagonals of normal matrices ⋮ The significance of theC-numerical range and the localC-numerical range in quantum control and quantum information ⋮ RelativeC-numerical ranges for applications in quantum control and quantum information ⋮ The star-shapedness of a generalized numerical range ⋮ The C-Numerical Range in Infinite Dimensions

Cites Work

• Elementary inclusion relations for generalized numerical ranges
• A note on the shape of the generalized numerical range
• A conjecture of marcus on the generalized numerical range
• Matrix Analysis
• Another proof of a result of Westwick
• On the shape of the generalized numerical ranges
• A note on the shape of the generalizedc-numerical range
• A theorem on numerical range
• C-numerical ranges andC-numerical radii

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