Schur product of matrices and numerical radius (range) preserving maps

DOI10.1016/j.laa.2005.10.034zbMath1121.15006OpenAlexW1979507582MaRDI QIDQ884406

Edward Poon, Chi-Kwong Li

Publication date: 6 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2005.10.034

zbMATH Keywords

numerical rangenumerical radius

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Linear transformations, semilinear transformations (15A04)

Related Items (4)

Unitary similarity invariant function preservers of skew products of operators ⋮ Schur-multiplicative maps preserving unitarily invariant norms ⋮ Preservers of spectral radius, numerical radius, or spectral norm of the sum on nonnegative matrices ⋮ Properties and preservers of numerical radius on skew Lie products of operators

Cites Work

• Multiplicative preservers on semigroups of matrices
• Linear Operators Preserving the Numerical Radius of Matrices
• Maps preserving numerical ranges of operator products
• Numerical range preserving operators on a Banach algebra
• Linear Maps on Selfadjoint Operators Preserving Invertibility, Positive Definiteness, Numerical Range
• Numerical radius distance-preserving maps on $\mathcal {B}(H)$
• Numerical Radius Perserving Operators on B(H)

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