The c-spectralc-radial and c-convex matrices

DOI10.1080/03081088608817739zbMath0612.15016OpenAlexW1974875260MaRDI QIDQ3752528

Chi-Kwong Li

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/03081088608817739

zbMATH Keywords

Hermitian formsc- spectral normc-convex matricesc-eigenpolygonc-numerical rangec-spectral radius

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Quadratic and bilinear forms, inner products (15A63)

Related Items

H-joint numerical ranges ⋮ On the generalizedc-numerical range ⋮ C-numericai ranges and normality of matrices ⋮ On the boundary of theC-numerical range of a matrix ⋮ C-numerical ranges andC-numerical radii ⋮ Joint numerical ranges and commutativity of matrices ⋮ TheC-convex matrices ⋮ Linear operators that preserve thec-numerical range or radius of matrices ⋮ Maps preserving the \(c\)-numerical radius of products for operators in \(\mathfrak{B}(\mathcal{H})\) ⋮ Duality between some linear preservers problems: the invariance of thec-numerical range, thec-numerical radius and certain matrix sets ⋮ OnC-det spectral andC-det-convex matrices ⋮ The cone of nonnegative \(c\)-numerical range and its preservers ⋮ The invarianee ofC-numerical rangeC-numericai radius, and their dual problems ⋮ The \(c\)-numerical range of operator products on \({\mathcal{B}}(H)\) ⋮ Some results on the generalized k-numerical range ⋮ c-convex matrices: characterizations, inclusion relations and normality ⋮ Preservers of the c-numerical radius of operator jordan semi-triple products ⋮ Antidiagonals of matrices in a unitary similarity orbit

Cites Work

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• Singular Values, Diagonal Elements, and Convexity
• On the Field of Values of a Square Matrix
• On Similarity and the Diagonal of a Matrix