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Nonlinear maps preserving Drazin invertible operators of bounded index
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.
Key words: Nonlinear preserver problems, Drazin inverse, ascent, descent.
