Linear operators on matrices: The invariance of the decomposable numerical radius

DOI10.1016/0024-3795(87)90163-7zbMath0617.15018OpenAlexW2065657145MaRDI QIDQ1821846

Tin-Yau Tam

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90163-7

zbMATH Keywords

decomposable numerical rangenumerical range preserving operators

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 on matrices: The invariance of the decomposable numerical range. II, The numerical range and decomposable numerical range of matrices, Linear operators preserving the (p,q)-numerical range, 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, Decomposable numerical ranges on orthonormal tensors, Induced operators on symmetry classes of tensors, Linear operators preserving decomposable numerical radii on orthonormal tensors, Linear operators preserving the decomposable numerical radius

Cites Work

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• Linear operators on matrices: The invariance of the decomposable numerical range
• Linear transformations on matrices: The invariance of sets of ranks
• Linear Transformations on Algebras of Matrices
• Numerical range preserving operators on a Banach algebra
• Quadratic forms on symmetry classes of tensors
• Linear operators preserving the decomposable numerical range
• On the Field of Values of a Square Matrix