Journal of applied mathematics & informatics

  • 제6권2호
  • /
  • Pages.611-630
  • /
  • 1999
  • /
  • 2734-1194(pISSN)
  • /
  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

THE RANGE OF DERIVATIONS ON CERTAIN BANACH ALGEBRAS

  • Park, Kyoo-Hong (Department of Mathematics Education Seowon University) ;
  • Kim, Byung-Do (Department of Mathematics Kangnung National university)
  • 발행 : 1999.06.01

⟨ 이전 논문 다음 논문 ⟩

초록

In this paper we show that the Derivation D(A) on the non-commutative Banach algebra A with identity satisfying certain conditions is contained in the radical of A and will show some examples satisfying such properties.

키워드

참고문헌

  1. Arch. Math. v.63 Derivations of noncommutative banach algebrasⅡ M.Bre$\˘{s}$ar
  2. Comm. of the Korean Math. Soc. v.13 no.3 The image of derivations certain Banach algebras B.D.Kim
  3. Bull. Korean Math. Soc. v.28 The range of derivations on noncommutative Banach algebras B.D.Kim;K.W.Jun
  4. Funtional analysis and operator theory v.30 Where to find the image of a derivation. M.Mathieu
  5. Bull. London Math. Soc. v.24 Derivations mapping into the radical,Ⅱ M.Mathieu;V.Runde
  6. Math. Ann. v.129 Derivations on commutative normed algebras I.M.Singer;J.Wermer
  7. Ann.of Math. v.128 The image of a derivationis contained in the radical. M.Thomas
  8. Proc. Amer. Math. Soc. v.116 no.4 On derivations in prime rings and Banach algebras J.Vukman