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Nonlinear maps preserving Drazin invertible operators of bounded index


Mourad Oudghiri
Khalid Souilah

Abstract

Given an integer n ≥1, we provide a complete description of all bijective bicontinuous maps, on the algebra of all bounded linear operators acting on an  innite-dimensional complex or real Banach space, that preserve the difference of Drazin invertible operators of index non-greater than n in both directions.


Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606