Title of article
Nonlinear Maps Preserving Mixed Product on Factors
Author/Authors
Zhao ، Yuanyuan School of Mathematics and Statistics - Shandong Normal University , Li ، Changjing School of Mathematics and Statistics - Shandong Normal University , Chen ، Quanyuan College of Information - Jingdezhen Ceramic Institute
From page
1325
To page
1335
Abstract
Let A and B be two factors with dimA 4. In this article, it is proved that a 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, or a conjugate linear ∗-isomorphism, or the negative of a linear ∗-isomorphism, or the negative of a conjugate linear ∗-isomorphism.
Keywords
Jordan ∗ , product , Isomorphism , Factors
Journal title
Bulletin of the Iranian Mathematical Society
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2744085
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