• Title/Summary/Keyword: primering

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FOR THE RANGE OF DERIVATION MAPPING ON BANACH ALGEBRAS

  • Shin, Dong-Soo;Chang, Ick-Soon;Kim, Hark-Mahn
    • Journal of applied mathematics & informatics
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    • v.13 no.1_2
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    • pp.425-432
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    • 2003
  • 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).