Journal of applied mathematics & informatics

  • 제5권2호
  • /
  • Pages.539-546
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  • 1998
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  • 2734-1194(pISSN)
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  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

LINEAR JORDAN DERIVATIONS ON BANACH ALGEBRAS

  • 발행 : 1998.06.01

⟨ 이전 논문 다음 논문 ⟩

초록

Let A be a noncommutative Banach algebra. Suppose that a continuos linear Jordan derivation D:A$\longrightarrow$A is such that either $[D^2(\chi),\chi^2]\;or\;(D^2(\chi),\chi]+(D(\chi))^2$ lies in the jacobson radical of A for all $\chi$$\in$A. Then D(A) is contained in the Jacobson radical of A.

키워드

참고문헌

  1. Proc. Amer. Math. Soc. v.104 Jordan derivations on semiprime rings M.Bresar
  2. Proc. Amer. Math. Soc. v.114 On a generalization of the notion of centralizing mappings M.Bresar
  3. Comm. in Algebra v.23 no.10 On derivations and commutativity in semiprime rings Q.Deng;H.E.Bell
  4. Proc. Amer. Math. Soc. v.8 Derivations in prime rings E.Posner
  5. Proc. Amer. Soc. v.24 Jordan homomorphisms and derivations on semisimple Banach algebras A.M.Sinclair