Additive preservers of the ascent, descent and related subsets
Mostafa Mbekhta, Vladimir Muller, Mourad Oudghiri · Journal of Operator Theory · 2014
In this paper we completely describe additive surjective continuous maps in the algebra of all bounded linear operators acting on a complex separable infinite-dimensional Hilbert space, preserving the operators of finite ascent, the operators of finite descent, Drazin invertible operators, upper semi-Browder operators, lower semi-Browder operators or Browder operators in both directions.