On additive preservers of certain classes of algebraic operators

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On additive preservers of certain classes of algebraic operators

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Title: On additive preservers of certain classes of algebraic operators
Author: Souilah, Khalid
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.
URI: http://hdl.handle.net/10662/9029
Date: 2015


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