典型文献
Nonlinear Maps Preserving Mixed Jordan Triple Products on von Neumann Algebras
文献摘要:
In this paper,we prove that if a bijective map Φ preserves mixed Jordan triple products between von Neumann algebras with no central abelian projections,then Φ(I)Φ is the sum of a linear*-isomorphism and a conjugate linear *-isomorphism,where Φ(I)is a self-adjoint central element in the range with Φ(I)2=I.Also,we give the structure of this map that preserves mixed Jordan triple products between factor von Neumann algebras.
文献关键词:
中图分类号:
作者姓名:
Dongfang ZHANG;Changjing LI;Yuanyuan ZHAO
作者机构:
School of Mathematics and Statistics,Shandong Normal University,Shandong 250014,P.R.China
文献出处:
引用格式:
[1]Dongfang ZHANG;Changjing LI;Yuanyuan ZHAO-.Nonlinear Maps Preserving Mixed Jordan Triple Products on von Neumann Algebras)[J].数学研究及应用,2022(04):374-380
A类:
bijective
B类:
Nonlinear,Maps,Preserving,Mixed,Jordan,Triple,Products,von,Neumann,Algebras,In,this,paper,prove,that,if,map,preserves,mixed,triple,products,between,algebras,no,central,abelian,projections,then,sum,isomorphism,conjugate,where,self,adjoint,element,range,Also,give,structure
AB值:
0.584487
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