Jordan Semi-Triple Multiplicative Maps on the Symmetric Matrices

نویسندگان

  • Xiaoning Hao
  • Pengxiang Ren
  • Runling An
چکیده

In this paper, we show that if an injective map  on symmetric matrices   n S C satisfies then           , , n ABA A B A A B S        C ,   Φ t f A SA S   for all   n A S C  , where f is an injective homomorphism on , is a complex orthogonal matrix and C S f A is the image of A under f applied entrywise.

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تاریخ انتشار 2013