JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2021, Vol. 56 ›› Issue (2): 41-47.doi: 10.6040/j.issn.1671-9352.0.2020.347

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Nonlinear maps preserving mixed Jordan triple η-product on the von Neumann algebras

PANG Yong-feng, ZHANG Dan-li, MA Dong   

  1. School of Science, Xian University of Architecture and Technology, Xian 710055, Shaanxi, China
  • Published:2021-01-21

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Abstract: Let M and N be two factor von Neumann algebras that their dimensions are larger than 1. It is proved that every bijective map preserving mixed Jordan triple η-products with η≠-1 from M into N is of the form A→εΦ(A), where ε∈{-1,1} and εΦ is a linear *-isomorphism or conjugate linear *-isomorphism when η∈R and εΦ is a linear *-isomorphism when η∈C\R.

Key words: factor von Neumann algebra, mixed Jordan triple η-product, isomorphism

CLC Number: 

  • O177.1
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