ADDITIVE PRESERVERS OF THE ASCENT, DESCENT AND RELATED SUBSETS

作者:Mbekhta Mostafa*; Mueller Vladimir; Oudghiri Mourad
来源:Journal of Operator Theory, 2014, 71(1): 63-83.
DOI:10.7900/jot.2011oct27.1994

摘要

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.

  • 出版日期2014