ADDITIVE PRESERVERS OF THE ASCENT, DESCENT AND RELATED SUBSETS

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 sem...

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Bibliographic Details
Published in:Journal of operator theory 2014, Vol.71 (1), p.63-83
Main Authors: MBEKHTA, MOSTAFA, MÜLLER, VLADIMIR, OUDGHIRI, MOURAD
Format: Article
Language:English
Subjects:
Algebra
Automorphisms
Complex numbers
Hilbert spaces
Integers
Linear algebra
Linear transformations
Mathematical theorems
Mathematical vectors
Separable spaces
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Summary: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.
ISSN:0379-4024
1841-7744
DOI:10.7900/jot.2011oct27.1994