Linear operators preserving the decomposable numerical range

DOI10.1080/03081087908817256zbMath0399.15013OpenAlexW2075602444MaRDI QIDQ4183427

Marvin Marcus, Ivan Filippenko

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1080/03081087908817256

zbMATH Keywords

Linear Operators Preserving the Decomposable Numerical Range

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Multilinear algebra, tensor calculus (15A69) Exterior algebra, Grassmann algebras (15A75)

Related Items (22)

A biography of Marvin Marcus ⋮ Linear operators on matrices: The invariance of the decomposable numerical range ⋮ Linear operators on matrices: The invariance of the decomposable numerical range. II ⋮ Polynomials and Numerical Ranges ⋮ The numerical range and decomposable numerical range of matrices ⋮ Singular values and numerical radii ⋮ Linear operators preserving the (p,q)-numerical range ⋮ Linear operators preserving the generalized decomposable numerical range ⋮ Pfaffian and decomposable numerical range of a complex skew symmetric matrix ⋮ 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 ⋮ On the decomposable numerical range of λI-N ⋮ 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 ⋮ On the phases of a complex matrix ⋮ Linear operators on matrices: The invariance of the decomposable numerical radius ⋮ Conditions for the generalized numerical range to be real ⋮ The decomposable numerical radius and numerical radius of a compound matrix

Cites Work

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• On the unitary invariance of the numerical radius
• Quadratic forms on symmetry classes of tensors
• On the Field of Values of a Square Matrix
• Some convexity theorems for matrices

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