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In this article, we introduce the notion of Lie triple centralizer as follows. Let    be an algebra, and    be a linear mapping. We say that  ϕ  is a Lie triple centralizer whenever    for all   . Then we characterize the general form of Lie triple centralizers on a generalized matrix algebra    and under some mild conditions on    we present the necessary and sucient conditions for a Lie triple centralizer to be proper. As an application of our results, we characterize generalized Lie triple derivations on generalized matrix algebras.

Lie triple centralizers on generalized matrix algebras