The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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ON CONTINUOUS LINEAR JORDAN DERIVATIONS OF BANACH ALGEBRAS

  • Park, Kyoo-Hong (DEPARTMENT OF MATHEMATICS EDUCATION, SEOWON UNIVERSITY) ;
  • Kim, Byung-Do (DEPARTMENT OF MATHEMATICS, KANGNUNG NATIONAL UNIVERSITY)
  • Published : 2009.05.31
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Abstract

Let A be a Banach algebra. Suppose there exists a continuous linear Jordan derivation D : A $\rightarrow$ A such that $[D(x),\;x]D(x)^2[D(x),\;x]\;{\in}\;rad(A)$ for all $x\;{\in}\;A$. Then we have D(A) $\subseteq$ rad(A).

Keywords

References

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