Nonlinear maps preserving numerical radius of indefinite skew products of operators

DOI10.1016/j.laa.2008.12.002zbMath1172.47026OpenAlexW2053073159MaRDI QIDQ1014490

Kan He, Jin-Chuan Hou, Xiu-Ling Zhang

Publication date: 29 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.12.002

zbMATH Keywords

nonlinear mapnumerical radiusindefinite skew product of operators

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Numerical range, numerical radius (47A12) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (10)

Unitary similarity invariant function preservers of skew products of operators ⋮ On preservers of pseudo spectrum of skew Jordan matrix products ⋮ Numerical range of Lie product of operators ⋮ Condition spectrum of rank one operators and preservers of the condition spectrum of skew product of operators ⋮ Multiplicatively pseudo spectrum-preserving maps ⋮ Non-linear maps on self-adjoint operators preserving numerical radius and numerical range of Lie product ⋮ A note on preservers of pseudo spectrum of matrix products ⋮ Nonlinear maps preserving condition spectrum of Jordan skew triple product of operators ⋮ Maps preserving the pseudo spectrum of skew triple product of operators ⋮ Preservers of radial unitary similarity functions on Lie products of self-adjoint operators

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