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Nonlinear *-Lie-type derivations on standard operator algebras

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Abstract

Let \(\mathcal{H}\) be an infinite dimensional complex Hilbert space and \(\mathcal{A}\) be a standard operator algebra on \(\mathcal{H}\) which is closed under the adjoint operation. It is shown that each nonlinear *-Lie-type derivation δ on \(\mathcal{A}\) is a linear *-derivation. Moreover, δ is an inner *-derivation as well.

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  1. College of Science, China Agricultural University, 100083, Beijing, P. R. China

    W. Lin

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  1. W. Lin
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Lin, W. Nonlinear *-Lie-type derivations on standard operator algebras. Acta Math. Hungar. 154, 480–500 (2018). https://doi.org/10.1007/s10474-017-0783-6

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  • DOI: https://doi.org/10.1007/s10474-017-0783-6

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