Let ▫$H$▫ be a complex Hilbert space and let ▫$\delta$▫ be a linear map which is Jordan derivable at a given idempotent ▫$P \in B(H)$▫ in the sense that ▫$\delta(A^2) = \delta(A)A + A\delta(A)$▫ ...holds for all ▫$A$▫ with ▫$A^2 = P$▫. If ▫$P$▫ has infinite rank and co-rank, then we prove that the restriction of ▫$\delta$▫ to ▫$B({\rm Im}P)$▫ is an inner derivation and the restriction to ▫$B({\rm Ker}P)$▫ is a sum of inner derivation and multiplication by a scalar. We give an example that this is not necessarily true when rank and co-rank of ▫$P$▫ are finite.
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