Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8906058 | Indagationes Mathematicae | 2018 | 9 Pages |
Abstract
Let A and B be two factors. For A,BâA, define by A
- B=AB+BAâ the Jordan â-product of A and B. In this paper, it is proved that a not necessarily linear bijective map Φ:AâB satisfies Φ(A
- B
- C)=Φ(A)
- Φ(B)
- Φ(C) for all A,B,CâA if and only if Φ is a linear â-isomorphism, or a conjugate linear â-isomorphism, or the negative of a linear â-isomorphism, or the negative of a conjugate linear â-isomorphism.
- B=AB+BAâ the Jordan â-product of A and B. In this paper, it is proved that a not necessarily linear bijective map Φ:AâB satisfies Φ(A
- B
- C)=Φ(A)
- Φ(B)
- Φ(C) for all A,B,CâA if and only if Φ is a linear â-isomorphism, or a conjugate linear â-isomorphism, or the negative of a linear â-isomorphism, or the negative of a conjugate linear â-isomorphism.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Fangfang Zhao, Changjing Li,