Linear operators preserving the decomposable numerical radius

DOI10.1080/03081088808817886zbMath0679.15024OpenAlexW2063647652MaRDI QIDQ3835597

Chi-Kwong Li, Nam-Kiu Tsing

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/03081088808817886

zbMATH Keywords

linear preserverunitary matricesdecomposable numerical rangedecomposable numerical radius

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Linear transformations, semilinear transformations (15A04)

Related Items

Linear operators preserving the \((p,q)\) numerical radius ⋮ The numerical range and decomposable numerical range of matrices ⋮ The numerical range of derivations ⋮ A brief survey on the decomposable numerical range of matrices ⋮ The generalized numerical radius associated with a positive semi-definite function ⋮ Chapter 6: linear preservers on numerical ranges, numerical radii and unitary similarity invariant norms ⋮ Induced operators on symmetry classes of tensors ⋮ Linear operators preserving decomposable numerical radii on orthonormal tensors

Cites Work

• The decomposable numerical radius and numerical radius of a compound matrix
• Linear transformations on matrices: The invariance of sets of ranks
• Linear operators on matrices: The invariance of the decomposable numerical radius
• Signature preserving linear maps of Hermitian matrices
• Linear maps on Hermitian matrices: the stabilizer of an inertia class, II
• An Affine Representation for Transversal Geometries
• Linear operators preserving the decomposable numerical range