Maps that preserve higher-dimensional numerical ranges with operator Jordan products

DOI10.1080/03081087.2016.1278197OpenAlexW2572054912MaRDI QIDQ4603785

Chaoqun Chen, Fangyan Lu

Publication date: 19 February 2018

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

Full work available at URL: https://doi.org/10.1080/03081087.2016.1278197

zbMATH Keywords

Jordan product\(\text{Jordan}^\ast\)-producthigher dimensional numerical range

Mathematics Subject Classification ID

Linear operators on Banach algebras (47B48) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (6)

Higher dimensional numerical range of Lie products on self-adjoint operators ⋮ Higher dimensional numerical range of \(\xi\)-Lie products on bound self-adjoint operators ⋮ Maps preserving the \(c\)-numerical radius of products for operators in \(\mathfrak{B}(\mathcal{H})\) ⋮ The \(c\)-numerical range of operator products on \({\mathcal{B}}(H)\) ⋮ Nonlinear maps preserving higher-dimensional numerical ranges of Jordan \(*\)-products ⋮ Preservers of the c-numerical radius of operator jordan semi-triple products

Cites Work

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• Matrix Analysis
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• 𝐶*-isomorphisms, Jordan isomorphisms, and numerical range preserving maps
• The Jordan structure of CSL algebras
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