Geodesic
Nonlinear maps preserving the mixed triple ∗-product between factors
Filomat, Tome 37 (2023) no. 8, p. 2397

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DOI

Let A and B be two factors. In this paper, it is proved that a not necessarily linear bijective map ϕ : A → B satisfies ϕ([A, B] * • C) = [ϕ(A), ϕ(B)] * • ϕ(C) for all A, B, C ∈ A if and only if ϕ is a linear *-isomorphism, a conjugate linear *-isomorphism, the negative of a linear *-isomorphism, or the negative of a conjugate linear *-isomorphism.
DOI : 10.2298/FIL2308397Z
Classification : 47B48, 46L10
Keywords: mixed triple ∗-product, isomorphism, factor 
Fangjuan Zhang. Nonlinear maps preserving the mixed triple ∗-product between factors. Filomat, Tome 37 (2023) no. 8, p. 2397 . doi: 10.2298/FIL2308397Z
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     author = {Fangjuan Zhang},
     title = {Nonlinear maps preserving the mixed triple \ensuremath{*}-product between factors},
     journal = {Filomat},
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     year = {2023},
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     number = {8},
     doi = {10.2298/FIL2308397Z},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2308397Z/}
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