Journal of applied mathematics & informatics

  • 제4권1호
  • /
  • Pages.263-271
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  • 1997
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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

LEFT DERIVATIONS AND DERIVATIONS ON BANACH ALGEBRAS

  • YONG-SOO JUNG (Deparment of mathematics Chungnam National University)
  • 발행 : 1997.03.01

⟨ 이전 논문 다음 논문 ⟩

초록

In this paper we show that every left derivation on a semiprime Banach algebra A is a derivation which maps A into the intersection of the center of A and the jacobson radical of A and hence every left derivation on a semisimple Banach algebra is always zero.

키워드

참고문헌

  1. Proc. Amer. Math. Soc. v.110 On left derivations and related mappings M. Bresar;J. Vukman
  2. J. London Math. Soc. v.16 no.2 Automatic continuity and topologically simple radical Banach algebras J. Cusack
  3. Bull. London Math. Soc. v.21 Epimorphisms and derivations on L¹(0,1) are continuous N. P. Jewell;A. M. Sinclair
  4. Amer. J. Math. v.91 Continuity of derivations on commutative Banach algebras B. E. Johnson
  5. Banach Center Publ. v.30 Where to find the image of a derivation M. Mathieu
  6. Proc. Amer. Math. Soc. v.24 Jordan homomorphisms and derivations on semisimple Banach algebras A. M. Sinclair
  7. London Math. Soc. Lecture Note Ser. v.21 Automatic continuity of linear operators A. M. Sinclair
  8. Math. Ann. v.129 Derivations on commutative normed algebras I. M. Singer;J. Wermer
  9. Ann. of Math. v.128 no.2 The image of a derivation is contained in the radical M. P. Thomas
  10. Contemp. Math. v.32 Continuous homomorphisms and derivations on Banach algebra B. Yood