Abstract
Let H and K be complex Hilbert spaces. Denote by \(B(H)\) and \(B(K)\) the algebras of all bounded linear operators on H and K, respectively. In this paper, we characterize that nonlinear map \(\phi : B(H)\rightarrow B(K)\) that preserves the higher-dimensional numerical ranges of Jordan \(*\)-products.
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Acknowledgements
The first author is supported by the National Natural Science Foundation of China (no. 11801045, no. 61807006) and Natural Science Fund of Changzhou Institute of Technology (no. YN1628). The second author is supported by the National Natural Science Foundation of China (no. 11571247).
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Communicated by Joachim Toft.
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Chen, C., Lu, F. Nonlinear maps preserving higher-dimensional numerical ranges of Jordan \(*\)-products. Ann. Funct. Anal. 11, 185–193 (2020). https://doi.org/10.1007/s43034-019-00021-4
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DOI: https://doi.org/10.1007/s43034-019-00021-4