Journal of applied mathematics & informatics

  • 제4권2호
  • /
  • Pages.555-561
  • /
  • 1997
  • /
  • 2734-1194(pISSN)
  • /
  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

A NOTE OF LEFT DERIVATIONS ON BANACH ALGEBRAS

  • 발행 : 1997.06.01

⟨ 이전 논문 다음 논문 ⟩

초록

In this paper we show that if A is a Banach algebra with radical R and D is a left derivation on A then $D(A){\subset}R$ if and only if $Q_RD^n$ is continuous for all $n{\geq}1$, where $Q_R$ is the canonical quotient map from A onto A/R.

키워드

참고문헌

  1. Proc. Amer. Math. Soc. v.110 On left derivation and related mappings M. Bresar;J. Vukman
  2. Amer. J. Math. v.91 Continuity of derivations on commutative Banach algebras B. E. Johnson
  3. Banach Center Publ. v.30 Where to find the image of a derivation M. Mathieu
  4. Proc. Amer. Math. Soc. v.20 Continuous derivations on Banach algebra A. M. Sinclair
  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 Math. v.128 no.2 The image of a derivation is contained in the radical M. P. Thomas
  8. Comtemp. Math. v.32 Continuous homormophisms and derivations on Banach algebra B. Yood