An electric machine includes an outer stator having a plurality of windings, an inner stator having a plurality of permanent magnets and arranged within the outer stator in concentric relationship to the outer stator, and a rotor arranged between the outer stator and the inner stator in concentric relationship to the outer and inner stators and movable relative to the outer and inner stators. The rotor includes a mounting element which is made from a non-magnetic material and has a plurality of recesses, with a magnetically soft segment being arranged in each of the recesses. A first cooling device cools the permanent magnets of the inner stator.