Preservers of unitary similarity functions on Lie products of matrices

DOI10.1016/j.laa.2015.02.036zbMath1334.15055arXiv1410.6213OpenAlexW2168254374WikidataQ115344492 ScholiaQ115344492MaRDI QIDQ269270

Yiu-Tung Poon, Chi-Kwong Li, Jian Lian Cui

Publication date: 18 April 2016

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

Full work available at URL: https://arxiv.org/abs/1410.6213

zbMATH Keywords

Lie productpseudo spectrumunitary similarity invariant function

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Isometric theory of Banach spaces (46B04)

Related Items (13)

On preservers of pseudo spectrum of skew Jordan matrix products ⋮ Lie product and local spectrum preservers ⋮ Linear automorphisms of the pseudospectral unit ball ⋮ Preservers of condition spectra and pseudo spectra of Hermitian matrix Jordan products ⋮ Maps preserving the \(c\)-numerical radius of products for operators in \(\mathfrak{B}(\mathcal{H})\) ⋮ Recent progress on local spectrum-preserving maps ⋮ Condition spectra of special operators and condition spectra preservers ⋮ Preservers of radial unitary similarity functions on products of operators ⋮ Nonlinear preservers of pseudospectral radius on Banach spaces ⋮ Preservers of Radial unitary similarity functions on Jordan semi-triple products of self-adjoint operators ⋮ A note on preservers of pseudo spectrum of matrix products ⋮ Preservers of radial unitary similarity functions on Lie products of self-adjoint operators ⋮ Preservers of the c-numerical radius of operator jordan semi-triple products

Uses Software

• PSAPSR

Cites Work

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• Properties and preservers of the pseudospectrum
• Conditions for the generalized numerical range to be real
• Isometries for unitarily invariant norms
• Multiplicative preservers on semigroups of matrices
• Pseudospectra of special operators and pseudospectrum preservers
• Fast Algorithms for the Approximation of the Pseudospectral Abscissa and Pseudospectral Radius of a Matrix
• Mappings on matrices: invariance of functional values of matrix products
• Linear operators preserving certain functions on singular values of matrices
• Matrix Analysis
• Invertible preservers and algebraic groups III: preservers of unitary similarity (congruence) invariants and overgroups of some unitary subgroups^∗
• Automorphisms of the Field of Complex Numbers

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