Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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FOR THE RANGE OF DERIVATION MAPPING ON BANACH ALGEBRAS

  • Shin, Dong-Soo (Department of Mathematics Education, Mokwon University) ;
  • Chang, Ick-Soon (Department of Mathematics, Chungnam National University) ;
  • Kim, Hark-Mahn (Department of Mathematics, Chungnam National University)
  • Published : 2003.09.01

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Abstract

Our main goal is to show that if there exists a continuous linear Jordan derivation D on a noncommutative Banach algebra A such that n$^{x}$ D(x)n+xD(x)x$^{n}$ $\in$ rad(A) for all x $\in$ A, then D maps A into rad(A).

Keywords

References

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