충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제11권1호
  • /
  • Pages.123-128
  • /
  • 1998
  • /
  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
권호 표지

A RESULT OF LINEAR JORDAN DERIVATIONS ON NONCOMMUTATIVE BANACH ALGEBRAS

  • 투고 : 1998.06.30
  • 발행 : 1998.07.31
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초록

The purpose of this paper is to prove the following result: Let A be a noncom mutative Banach algebra. Suppose that $D:A{\rightarrow}A$ is a continuous linear Jordan derivation such that $D^2(x)D(x)^2{\in}rad(A)$ for all $x{\in}A$. Then D maps A into its radical.

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