Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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THE RANGE OF DERIVATIONS ON BANACH ALGEBRAS

  • Jun, Kil-Woung (Department of Mathematics, Chungnam National University) ;
  • Kim, Hark-Mahn (Department of Mathematics, Chungnam National University)
  • Published : 2002.05.01
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Abstract

In this paper we show that if D is a continuous linear Jordan derivation on a Banach algebra A satisfying [[D($x^{n}$), $x^{n}$, $x^{n}$] $\in$ rad(A) for a positive integer n and for all x${\in}$A, then D maps A into rad(A).

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References

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