FULL SPECTRUM PRESERVING LINEAR MAPPING BETWEEN STLICTLY DENSE BANACH ALGEBRAS

  • Published : 1999.03.01

Abstract

Let A and B be two strictly dense Banach Algebras on X and Y respectively where X and Y are Banach space. We give some conditions under which full spectrum preserving linear mappings from A into B Jordan morphisms and X is homomorphic to Y.

Keywords

References

  1. Studia Math v.109 no.1 Spectrum Preserving Linear Mappings in Banach Algebras B.Aupetit;T.Mouton
  2. Topics in Ring Theory I.N.Herstein
  3. J.Funct v.66 Spectrum Preserving Linear Maps A.A.Jafarian;A.R.Sourour
  4. Amer.Math.Soc.Providence;CBMS Regional Conf. Ser. in Math 1. Algebraic and Analytic Aspects of Operator Algebras I.Kaplansky
  5. Studia Math. v.104 On Rank One and Finite Elements of Banach Algebras T.Mouton;H.Raubenheimer
  6. General Theory of Banach Algebras C.Z.Ricart