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Additive maps preserving the ascent and descent of operators
Authors:M Bendaoud  M Sarih  
Institution:aDépartement de Mathématiques, Faculté des Sciences, University Moulay Ismail Meknès, Morocco
Abstract:Let View the MathML source and View the MathML source be the algebras of all bounded linear operators on infinite dimensional complex Banach spaces X and Y, respectively. We characterize additive maps from View the MathML source onto View the MathML source preserving different quantities such as the nullity, the defect, the ascent, and the descent of operators.
Keywords:Ascent  Descent  Jordan isomorphism  Additive preservers
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