A survey on linear preservers of numerical ranges and radii

DOI10.11650/twjm/1500574944zbMath0986.15021OpenAlexW4230672131MaRDI QIDQ5950088

Chi-Kwong Li

Publication date: 29 May 2002

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/twjm/1500574944

zbMATH Keywords

numerical rangelinear preserverresearch surveylinear operatornumerical radius

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Linear transformations, semilinear transformations (15A04) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Research exposition (monographs, survey articles) pertaining to linear algebra (15-02)

Related Items (12)

Higher dimensional numerical range of Lie products on self-adjoint operators ⋮ Nonlinear maps preserving higher-dimensional numerical range of skew Lie product of operators ⋮ On a numerical radius preserving onto isometry on \(\mathcal{L}(X)\) ⋮ Numerical range of Lie product of operators ⋮ Numerical shadows: measures and densities on the numerical range ⋮ Maps preserving the joint numerical radius distance of operators ⋮ Properties and preservers of the pseudospectrum ⋮ Numerical radius inequalities for finite sums of operators ⋮ \(c\)-Numerical radius isometries on matrix algebras and triangular matrix algebras ⋮ On maps compressing the numerical range between \(C^*\)-algebras ⋮ Multiplicative maps preserving the higher rank numerical ranges and radii ⋮ A numerical investigation of the \(c\)-\textit{numerical ranges} of differential operators

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