A linear preserver problem on maps which are triple derivable at orthogonal pairs Essaleh, Ahlem Ben Ali Peralta Pereira, Antonio Miguel A linear mapping T on a JB∗-triple is called triple derivable at orthogonal pairs if for every a,b,c∈E with a⊥b we have 0={T(a),b,c}+{a,T(b),c}+{a,b,T(c)}. We prove that for each bounded linear mapping T on a JB∗-algebra A the following assertions are equivalent: (a) T is triple derivable at zero; (b) T is triple derivable at orthogonal elements; (c) There exists a Jordan ∗-derivation D:A→A∗∗, a central element ξ∈A∗∗sa, and an anti-symmetric element η in the multiplier algebra of A, such that T(a)=D(a)+ξ∘a+η∘a, for all a∈A; (d) There exist a triple derivation δ:A→A∗∗ and a symmetric element S in the centroid of A∗∗ such that T=δ+S. The result is new even in the case of C∗-algebras. We next establish a new characterization of those linear maps on a JBW∗-triple which are triple derivations in terms of a good local behavior on Peirce 2-subspaces. We also prove that assuming some extra conditions on a JBW∗-triple M, the following statements are equivalent for each bounded linear mapping T on M: (a) T is triple derivable at orthogonal pairs; (b) There exists a triple derivation δ:M→M and an operator S in the centroid of M such that T=δ+S. \end{enumerate} 2021-07-12T11:01:39Z 2021-07-12T11:01:39Z 2020-09-22 info:eu-repo/semantics/article Publisher version: Essaleh, A.B.A., Peralta, A.M. A linear preserver problem on maps which are triple derivable at orthogonal pairs. RACSAM 115, 146 (2021). [https://doi.org/10.1007/s13398-021-01082-8] http://hdl.handle.net/10481/69652 10.1007/s13398-021-01082-8 eng http://creativecommons.org/licenses/by-nc-nd/3.0/es/ info:eu-repo/semantics/openAccess Atribución-NoComercial-SinDerivadas 3.0 España Springer Nature