As these verses suggest, Allah takes back the self of the one who is asleep, yet He sends the selves of those whose deaths have yet not been decreed. In this context, in one's sleep one does not die, in the sense in which we perceive death. Only for a temporary period, the self leaves the body and remains in another dimension. When we wake up, the self returns to the body.1
To conclude, we can say that Jesus (as) may have been in a special state, raised up to the presence of Allah. What he actually experienced was not death in the sense with which we are familiar, but merely a departure from this dimension. Surely, Allah knows best.