Nonlinear maps preserving the mixed triple products between factors
Nonlinear maps preserving the mixed triple products between factors
Received:March 18, 2021  Revised:October 06, 2021
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中文关键词:  
英文关键词:Maps preserving the mixed triple product  Isomorphism  Factors
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Author NameAffiliationAddress
fangjuan zhang Xi’an University of Posts and Telecommunications School of Science, Xi’an University of Posts and Telecommunications
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中文摘要:
      
英文摘要:
      Let A and B be two factors with dimA > 4. In this paper, 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.
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