Nondifferentiable boundary points of the higher numerical range

DOI10.1016/0024-3795(78)90084-8zbMath0393.15015OpenAlexW2048374090MaRDI QIDQ1252397

Ivan Filippenko, Marvin Marcus

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0024-3795(78)90084-8

zbMATH Keywords

NormalityEigenpolygonHigher Numerical RangeM-ConvexityNondifferentiable Boundary PointsSquare Complex Matrices

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 ⋮ A biography of Marvin Marcus ⋮ Joint k-numerical ranges of operators ⋮ The numerical range and decomposable numerical range of matrices ⋮ Nondifferentiabie points of ∂W_c(A) ⋮ Equality of higher numerical ranges of matrices and a conjecture of Kippenhahn on Hermitian pencils ⋮ C-numericai ranges and normality of matrices ⋮ The c-spectralc-radial and c-convex matrices ⋮ C-numerical ranges andC-numerical radii ⋮ TheC-convex matrices ⋮ Signatures of quantum phase transitions from the boundary of the numerical range ⋮ Some results on the generalized k-numerical range ⋮ A survey of canonical forms and invariants for unitary similarity ⋮ c-convex matrices: characterizations, inclusion relations and normality ⋮ Linear maps preserving the higher numerical ranges of tensor products of matrices ⋮ The generalized spectral radius, numerical radius and spectral norm

Cites Work

• Unnamed Item
• On the numerical range of a bounded operator
• Normality and the numerical range
• Field Convexity of a Square Matrix
• On the Field of Values of a Square Matrix
• Some convexity theorems for matrices