素*-环上非线性保XY+YX*积映射

Nonlinear preserving product XY+YX* on prime *- rings

    摘要
  • 摘要: 设M是包含非平凡投影P的单位素*-环.证明了非线性双射ø:M→M,对所有A,B∈M,ø(AB+BA*)=ø(A)ø(B)+ø(B)ø(A)*当且仅当ø是*-环同构.

     

    Abstract: Let M be a unital prime *- ring containing a nontrivial projection P.It is shown that a nonlinear bijective map ø:M→M satisfies ø(AB+BA*)=ø(A)ø(B)+ø(B)ø(A)* for all A,B∈M if and only if ø is a *-ring isomorphism.

     

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