JORDAN DERIVATIONS IN NONCOMMUTATIVE BANACH ALGEBRAS

  • Chang, Ick-Soon (Department of Mathematics, Chungnam National University)
  • Published : 2000.08.01

Abstract

Our main goal is to show that if there exist Jordan derivations D, E and G on a noncommutative 2-torsion free prime ring R such that$(G^2(x)+E(x))D(x)=0\ or\ D(x)(G^2(x)+E(x))=0\ for\ all\ x\inR$, then we have D=o or E=0, G=0.

Keywords

References

  1. Proc.Amer.Math. v.104 Jordan derivations on semiprime rings M.Bresar
  2. Rad.Math. v.5 Orthogonal derivation and an extension of a theorem of Posner M.Bresar;J.Vukman
  3. Amer.J.Math. v.90 Continuity of derivations and a problem of Kaplansky B.E.Johnson;A.M.Shnclair
  4. Proc.Amer.Math.Soc. v.8 Derivations in prime rings E.Posner
  5. Proc.Amer.Math.Soc. v.20 Continuinuous derivations on Banach algebras A.M.Sinclair
  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 derivation is contained in the radical M.P.Thomas
  8. Glas.Mat. v.26 A result concerning derivations in noncommutative Banach algebras