Article

Nonlinear maps preserving Drazin invertible operators of bounded index

Published in: Quaestiones Mathematicae
Volume 43 , issue 3 , 2020 , pages: 309–320

DOI: 10.2989/16073606.2019.1573766

Author(s): Mourad Oudghiri Département Math, Labo LAGA, Faculté des Sciences, Maroc , Khalid Souilah Département Math, Labo LAGA, Faculté des Sciences, Maroc

Keywords: 47B49 , 47L99 , 47A55 , 47B37 , 47B49 , 47L99 , 47A55 , 47B37

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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 infinite-dimensional complex or real Banach space, that preserve the diﬀerence of Drazin invertible operators of index non-greater than n in both directions.

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