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Title: On additive preservers of certain classes of algebraic operators
Authors: Souilah, Khalid
Keywords: Algebraic operators;Linear preserver problems;Operadores algebraicos;Problemas de preservadores lineales
Issue Date: 2015
Publisher: Universidad de Extremadura
Abstract: In this article we provide a complete description of all additive surjective unital maps in the algebra of all bounded linear operators acting on an infinite-dimensional Hilbert space, preserving in both directions the set of non-invertible algebraic operators or the set of invertible algebraic operators.
Appears in Collections:Extracta Mathematicae Vol. 30, nº 2 (2015)

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