Linear operators preserving the \((p,q)\) numerical radius

DOI10.1016/0024-3795(94)90101-5zbMath0809.15013OpenAlexW4205175205MaRDI QIDQ1329993

Chi-Kwong Li

Publication date: 15 August 1994

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90101-5

zbMATH Keywords

numerical rangelinear operatorsnumerical 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 (2)

Invertible preservers and algebraic groups III: preservers of unitary similarity (congruence) invariants and overgroups of some unitary subgroups^∗ ⋮ The \(c\)-numerical range of a rank one matrix

Cites Work

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• The decomposable numerical radius and numerical radius of a compound matrix
• Linear operators preserving the (p,q)-numerical range
• The numerical range of derivations
• Linear Operators Preserving the Numerical Radius of Matrices
• Some Results on the Numerical Range of a Derivation
• Linear Transformations on Algebras of Matrices
• Linear Transformations on Algebras of Matrices: The Invariance of the Elementary Symmetric Functions
• Linear maps on Hermitian matrices: the stabilizer of an inertia class, II
• Linear operators preserving the higher numerical radius of matrices
• Vertex points in the numerical range of a derivation
• Duality between some linear preservers problems: the invariance of thec-numerical range, thec-numerical radius and certain matrix sets
• Linear operators preserving the decomposable numerical radius
• A brief survey on the decomposable numerical range of matrices
• On the Field of Values of a Square Matrix
• Linear Transformations on Matrices: the Invariance of the Third Elementary Symmetric Function

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