Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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JORDAN DERIVATIONS ON NONCOMMUTATIVE BANACH ALGEBRAS

  • Park, Kyoo-Hong (Department of Mathematics Education, Seowon University) ;
  • Kim, Byung-Do (Department of Mathematics, Kangnung National University) ;
  • Byun, Sang-Hun (Department of Mathematics, Chungnam National University)
  • Published : 2000.09.01

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Abstract

In this paper we shall give a slight generalization of J. Vukman's Theorem. And show from the result that the image of a continuous linear Jordan derivation on a noncommutative Banach algebra A is contained in the radical under the condition [D(x),x]E(x) ${\in}$ rad(A) for all $x{\in}A$ . And we show some properties of the derivations on noncommutative Banach algebras.

Keywords

References

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