Abstract
This article mainly introduces some structural properties of confined δ Lie triple systems are studied by means of the relation among the restricted Lie three systems, modular Lie algebras and δ Lie triple systems. Firstly, we verify by induction that the set of all linear transformations that restricted δ Lie triple systems satisfies the condition of restricted δ Lie triple systems. Next,the first mathematical induction method is used to verify that the generalized derivations and the quasiderivations are p-subsystems of the set of all linear transformations that restricted δ Lie three systems. Finally, it is proved that if the restricted δ Lie system has a trivial center, then the center is the commutator system of the generalized derivations.
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