AUTOMATIC CONTINUITY OF HOMOMORPHIMS FROM BANACH ALGEBRAS

  • Kim, Gil-Tae (Department of Mathematics Kunsan National University)
  • Published : 1997.03.01

Abstract

Let A be a Banach algebra and B a semisimple annifilator Banach algebra. Then every homomorphism from A into B with range is continuous. Also we obtain condition s for the automatic continuity of homomorphism with dense range.

Keywords

References

  1. J. Functional Analysis v.29 Prime Ideals and Automatic Continuity Problems for Banach algebra W.G.Bade;P.C.Curtis, Jr.
  2. Complete Normed Algebra F.F.Bonsall;J.Duncan
  3. Bull. Korean Math. Soc. v.20 Derivations mapping into the radical T.G.Cho
  4. Bull. London Math. Soc. v.10 Automatic Continuity : A Survey H.G.Dales
  5. Elements for a Classification of Commutative Radical Banach Algebra v.LNM 975 J.Esterle
  6. Proc. Amer. Math. Soc. v.99 Continuity of Derivations on Some Semiprime Banach Algebra R.V.Garimella
  7. Bull. Amer. Math. Soc. v.73 The Uniquenese of the Complete Norm Topology B.E.Johnson
  8. Proc. Amer. Math. Soc. v.84 Derivations on Commutative Banach Algebras A.Khosravi
  9. London Math. Soc. v.Lecture Notes Series 21 Automatic Contimuity of Linear Operators A.M.Sinclair