• Continuity of Drazin and generalized Drazin inversion in Banach algebras 

      Benjamin, Ronalda Abigail Marsha (Stellenbosch : Stellenbosch University, 2013-03)
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    • Fredholm theory in general Banach algebras 

      Heymann, Retha (Stellenbosch : University of Stellenbosch, 2010-03)
      ENGLISH ABSTRACT: This thesis is a study of a generalisation, due to R. Harte (see [9]), of Fredholm theory in the context of bounded linear operators on Banach spaces to a theory in a Banach algebra setting. A bounded ...
    • Rank one and finite rank elements of Banach algebras 

      Muzundu, Kelvin (Stellenbosch : Stellenbosch University, 2007-12)
      ENGLISH ABSTRACT: Let A be a unital complex Banach algebra, which we shall simply refer to as a Banach algebra. An element u in A is single if xuy = 0, where x, y E A, implies that xu = 0 or uy = 0. We say that u acts ...
    • Spectrum preserving linear mappings between Banach algebras 

      Weigt, Martin (Stellenbosch : Stellenbosch University, 2003-04)
      ENGLISH ABSTRACT: Let A and B be unital complex Banach algebras with identities 1 and I' respectively. A linear map T : A -+ B is invertibility preserving if Tx is invertible in B for every invertible x E A. We say that ...