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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… Click to show full abstract
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.
Keywords:
index;
maps preserving;
nonlinear maps;
invertible operators;
drazin invertible
Journal Title: Quaestiones Mathematicae
Year Published: 2019
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Journal Title: Quaestiones Mathematicae
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!