Korean Journal of Mathematics

  • 제26권2호
  • /
  • Pages.285-291
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  • 2018
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  • 1976-8605(pISSN)
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  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
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A CHARACTERIZATION OF ADDITIVE DERIVATIONS ON C*-ALGEBRAS

  • Taghavi, Ali (Department of Mathematics Faculty of Mathematical Sciences University of Mazandaran) ;
  • Akbari, Aboozar (Department of Mathematics Faculty of Mathematical Sciences University of Mazandaran)
  • 투고 : 2018.04.11
  • 심사 : 2018.05.28
  • 발행 : 2018.06.30
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초록

Let $\mathcal{A}$ be a unital $C^*$-algebra. It is shown that additive map ${\delta}:{\mathcal{A}}{\rightarrow}{\mathcal{A}}$ which satisfies $${\delta}({\mid}x{\mid}x)={\delta}({\mid}x{\mid})x+{\mid}x{\mid}{\delta}(x),\;{\forall}x{{\in}}{\mathcal{A}}_N$$ is a Jordan derivation on $\mathcal{A}$. Here, $\mathcal{A}_N$ is the set of all normal elements in $\mathcal{A}$. Furthermore, if $\mathcal{A}$ is a semiprime $C^*$-algebra then ${\delta}$ is a derivation.

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참고문헌

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