An elevator installation includes an elevator cage carrier with a first elevator cage and a second elevator cage. A hydraulic adjusting element for the first elevator cage is provided, which serves for adjusting the first elevator cage relative to the elevator cage carrier. In addition, a hydraulic adjusting element for the second elevator cage is also provided, which serves for adjusting the second elevator cage relative to the elevator cage carrier. In that case a stroke of the hydraulic adjusting element for the first elevator cage for adjusting the first elevator cage in a first adjustment direction is converted into a stroke of the hydraulic adjusting element for the second elevator cage for adjusting the second elevator cage in an opposite adjustment direction.