Non-linear maps on self-adjoint operators preserving numerical radius and numerical range of Lie product
He, Kan · Hou, Jinchuan
Original · EN
Let H be a complex separable Hilbert space of dimension ≥ 2, Bₛ(H) the space of all self-adjoint operators on H. We give a complete classification of non-linear surjective maps on Bₛ(H) preserving respectively numerical radius and numerical range of Lie product.
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