Nonlinear maps preserving higher-dimensional numerical ranges of Jordan \(*\)-products

DOI10.1007/s43034-019-00021-4OpenAlexW2997511328MaRDI QIDQ2287467

Fangyan Lu, Chaoqun Chen

Publication date: 20 January 2020

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43034-019-00021-4

zbMATH Keywords

nonlinear maphigher-dimensional numerical rangeJordan \(\eta -*\)-product

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Cites Work

• On operators preserving the numerical range
• Inclusion relations involving k-numerical ranges
• A condition for a subspace of \({\mathcal B} (H)\) to be an ideal
• Some unitary similarity invariant sets preservers of skew Lie products
• Maps leaving functional values of operator products invariant
• Nonlinear maps preserving higher-dimensional numerical range of skew Lie product of operators
• Linear operators preserving the higher numerical radius of matrices
• Normality and the Higher Numerical Range
• Invariants of linear maps on matrix algebras
• THE SPECTRAL SCALE AND THE $k$ NUMERICAL RANGE
• THE SPECTRAL SCALE AND THE NUMERICAL RANGE
• Maps that preserve higher-dimensional numerical ranges with operator Jordan products
• 𝐶*-isomorphisms, Jordan isomorphisms, and numerical range preserving maps
• Some convexity theorems for matrices
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