대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제37권2호
  • /
  • Pages.265-272
  • /
  • 2000
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

RESULTS ON THE RANGE OF DERIVATIONS

  • 발행 : 2000.05.01
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초록

Let D be a derivation on an Banach algebra A. Suppose that [[D(x), x], D(x)] lies in the nil radical of A for all $x{\;}{\in}{\;}A$. Then D(A) is contained in the Jacobson radical of A.

키워드

참고문헌

  1. Arch. Math. v.59 Derivations of noncommutative Banack algebras M. Bresar;J. Vukman
  2. J. London Math. Soc. v.16 no.2 Automatic continuity and topologically simple radical Banach algebras J. Cusack
  3. Proc. Amer. Math. Soc. v.118 An Engel condition with derivation C. Lanski
  4. Banach Center Publ. v.30 Where to find the image of a derivation M. Mathieu
  5. London Math. Soc. Lecture Note Ser. v.21 Automatic continuity of linear operators A.m. Sinclair
  6. Math. Ann. v.129 Derivations on commutative normed algebras I.M. Singer;J. Wermer
  7. Ann. of Meth. v.128 The image of a derivation is contained in the radical M.P. Thomas
  8. Pacific J. Math. v.159 Primitive ideals and derivations on non-commutative Banach algebras
  9. Glas. Mat. v.26 A result concerning derivations in noncommutative Banach algebras J. Vukman