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Nonlinear *-Lie Higher Derivations of Standard Operator Algebras
Abstract Let ℌ be an in finite-dimensional complex Hilbert space and A be a standard operator algebra on ℌ which is closed under the adjoint operation. It is shown that every nonlinear *-Lie higher derivation D = {δ n }gn∈N of A is automatically an additive higher derivation on A. …