Higher dimensional numerical range of \(\xi\)-Lie products on bound self-adjoint operators

DOI10.1007/s11785-022-01310-yOpenAlexW4313383062MaRDI QIDQ2679103

Shaoxing Sun, Xiao Fei Qi

Publication date: 19 January 2023

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-022-01310-y

zbMATH Keywords

numerical rangeproductsself-adjoint operatorsJordan productsgeneral preservers

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Cites Work

• Numerical range of Lie product of operators
• Higher dimensional numerical range of Lie products on self-adjoint operators
• Non-linear maps on self-adjoint operators preserving numerical radius and numerical range of Lie product
• Maps preserving numerical ranges of operator products
• C-numerical ranges andC-numerical radii
• Maps that preserve higher-dimensional numerical ranges with operator Jordan products
• 𝐶*-isomorphisms, Jordan isomorphisms, and numerical range preserving maps
• Linear maps preserving the higher numerical ranges of tensor products of matrices
• Some convexity theorems for matrices
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