ON THE SPECTRAL RADIUS AND INVERTIBILITY OF CERTAIN ELEMENTS IN BANACH ALGEBRA

  • Park, Kyon-Hong (Department of Mathematics Education Seowon University) ;
  • Kim, Byung-Do (Department of Mathematics kangnung National University)
  • Published : 1997.03.01

Abstract

In this paper we show that the limit of a convergent in-vertible sequence in the set of invertible elements Inv(A) in a Banach algebra A under a certain conditions is invertible and we investigate some properties of the spectral radius of banach algebra with unit.

Keywords

References

  1. Complete Normed Algebras F.F Bonsal;J. Duncan
  2. Banach Algebras an introduction R.Larsen
  3. Banach Algebras C.E.Rickart